Class 10 maths PAPER RAJASTHAN BOARD
•
0 likes•185 views
The document contains 16 math word problems or questions covering a range of topics: 1) Finding the height of a tower using shadow length information at different sun angles. 2) Proving and finding the height of a tower using shadow length differences. 3) Calculating the distance to a cloud using elevation and depression angles. 4) Calculating distance and height using elevation and depression angles from a ship. 5) Finding the difference in shadow lengths of a pillar at different sun elevation angles.
Report
Share
Report
Share
Download to read offline
Recommended
Trigonometry For
This document provides an introduction to basic trigonometry terms and concepts:
1. It defines clockwise and counterclockwise rotation, and explains that angles can be measured in degrees or radians.
2. A unit circle is introduced as a circle with radius of 1 on the coordinate plane, and how sine, cosine, and tangent values can be found using triangles on the unit circle.
3. Reference angles and coterminal angles are defined in relation to the terminal side of an angle and the x-axis on the unit circle.
4. Some special angles that have exact trigonometric function values are mentioned. Basic trigonometric identities for cosecant and secant are also provided
IB Maths Radians, arc length & sector area
1. The document discusses concepts related to arc length and sector area of circles such as converting between degrees and radians, recognizing circle terminology, and deriving formulas to calculate arc length, sector area, and segment area.
2. It provides formulas for calculating the arc length of a minor arc, the area of a minor sector, and the area of a triangle within the sector.
3. Examples are given to demonstrate calculating arc length, sector area, and segment area along with a terminology quiz to test understanding of key circle terms like radius, chord, and sector.
Math unit35 trigonometric problem
This document covers trigonometric concepts and problems involving right-angled triangles, bearings, and trigonometric functions. It includes 7 presentations on finding angles in right triangles using trig functions, problems using trigonometry including elevation and depression, the sine rule, cosine rule, problems with bearings, and trig functions. Examples are provided for each topic to demonstrate how to set up and solve various trigonometric problems.
Trigonometry worksheet
This document contains a worksheet with 7 trigonometry problems:
1) Using a 34 degree angle of depression and a cliff height of 40m, find the distance of an object from the cliff base.
2) Find the angle between the body diagonal and base of a cube with side length 5cm.
3) A boat sails N30oW for 20km; calculate how far west it is from the starting port.
4) Two men see the angle of elevation to a building's top at 30 and 60 degrees; given the height is 50m, find the distance between the men.
5) An incomplete pillar's top has a 45 degree elevation at 100m;
IB Maths unit circle
- The document discusses the unit circle and relates angles to their sine and cosine values.
- It defines the unit circle as having a radius of 1 and identifies the sine and cosine of angles in all four quadrants.
- Key properties discussed are that the sine and cosine of angles in quadrants 2, 3 and 4 can be related to the sine and cosine of the corresponding reference angle in quadrant 1.
{ Real no , trigonometry area perimeter )maths project
Vinay Kushwaha's math project discusses real numbers, trigonometry, and calculating area and perimeter. It provides background on famous mathematicians like Srinivasa Ramanujan and Carl Friedrich Gauss. It then explains key concepts like real numbers, trigonometric ratios, and formulas for calculating the area of shapes like triangles, rectangles, parallelograms, and squares.
Trigonometry
This document provides an overview of trigonometry presented by Vijay. It begins by listing the materials needed and encouraging note taking. The presentation then defines trigonometric ratios like sine, cosine and tangent using a right triangle. It also covers trigonometric ratios of specific angles like 45 and 30 degrees as well as complementary angles. The document concludes by explaining several trigonometric identities and providing a short summary of key points.
Ppt 1
This document discusses two methods for finding the area of a quadrilateral. The first method is to divide the quadrilateral into two triangles and find the sum of their areas. The second method involves drawing a diagonal and a parallel line to form a triangle with the same area as the original quadrilateral, so only the area of the triangle needs to be calculated. In conclusion, drawing a triangle of equal area inside a quadrilateral allows the area to be found by calculating just the triangle's area.
Recommended
Trigonometry For
This document provides an introduction to basic trigonometry terms and concepts:
1. It defines clockwise and counterclockwise rotation, and explains that angles can be measured in degrees or radians.
2. A unit circle is introduced as a circle with radius of 1 on the coordinate plane, and how sine, cosine, and tangent values can be found using triangles on the unit circle.
3. Reference angles and coterminal angles are defined in relation to the terminal side of an angle and the x-axis on the unit circle.
4. Some special angles that have exact trigonometric function values are mentioned. Basic trigonometric identities for cosecant and secant are also provided
IB Maths Radians, arc length & sector area
1. The document discusses concepts related to arc length and sector area of circles such as converting between degrees and radians, recognizing circle terminology, and deriving formulas to calculate arc length, sector area, and segment area.
2. It provides formulas for calculating the arc length of a minor arc, the area of a minor sector, and the area of a triangle within the sector.
3. Examples are given to demonstrate calculating arc length, sector area, and segment area along with a terminology quiz to test understanding of key circle terms like radius, chord, and sector.
Math unit35 trigonometric problem
This document covers trigonometric concepts and problems involving right-angled triangles, bearings, and trigonometric functions. It includes 7 presentations on finding angles in right triangles using trig functions, problems using trigonometry including elevation and depression, the sine rule, cosine rule, problems with bearings, and trig functions. Examples are provided for each topic to demonstrate how to set up and solve various trigonometric problems.
Trigonometry worksheet
This document contains a worksheet with 7 trigonometry problems:
1) Using a 34 degree angle of depression and a cliff height of 40m, find the distance of an object from the cliff base.
2) Find the angle between the body diagonal and base of a cube with side length 5cm.
3) A boat sails N30oW for 20km; calculate how far west it is from the starting port.
4) Two men see the angle of elevation to a building's top at 30 and 60 degrees; given the height is 50m, find the distance between the men.
5) An incomplete pillar's top has a 45 degree elevation at 100m;
IB Maths unit circle
- The document discusses the unit circle and relates angles to their sine and cosine values.
- It defines the unit circle as having a radius of 1 and identifies the sine and cosine of angles in all four quadrants.
- Key properties discussed are that the sine and cosine of angles in quadrants 2, 3 and 4 can be related to the sine and cosine of the corresponding reference angle in quadrant 1.
{ Real no , trigonometry area perimeter )maths project
Vinay Kushwaha's math project discusses real numbers, trigonometry, and calculating area and perimeter. It provides background on famous mathematicians like Srinivasa Ramanujan and Carl Friedrich Gauss. It then explains key concepts like real numbers, trigonometric ratios, and formulas for calculating the area of shapes like triangles, rectangles, parallelograms, and squares.
Trigonometry
This document provides an overview of trigonometry presented by Vijay. It begins by listing the materials needed and encouraging note taking. The presentation then defines trigonometric ratios like sine, cosine and tangent using a right triangle. It also covers trigonometric ratios of specific angles like 45 and 30 degrees as well as complementary angles. The document concludes by explaining several trigonometric identities and providing a short summary of key points.
Ppt 1
This document discusses two methods for finding the area of a quadrilateral. The first method is to divide the quadrilateral into two triangles and find the sum of their areas. The second method involves drawing a diagonal and a parallel line to form a triangle with the same area as the original quadrilateral, so only the area of the triangle needs to be calculated. In conclusion, drawing a triangle of equal area inside a quadrilateral allows the area to be found by calculating just the triangle's area.
Trigonometry
Trigonometry deals with relationships between sides and angles of triangles, especially right triangles. It has been studied since ancient times and is used across many fields including astronomy, navigation, architecture, engineering, and digital imaging. Trigonometric functions relate ratios of sides of a right triangle to an angle of the triangle. These functions and their relationships are important tools that are applied in problems involving waves, forces, rotations, and more.
Trigonometry maths school ppt
Trigonometry is the branch of mathematics that deals with triangles, especially right triangles. It has been used for over 4000 years, originally to calculate sundials. Key trigonometric functions are the sine, cosine, and tangent, which relate the angles and sides of a right triangle. Trigonometric identities and the trig functions of complementary angles are also discussed. Trigonometry has many applications, including in astronomy, navigation, engineering, optics, and more. It allows curved surfaces to be approximated in architecture using flat panels at angles.
Trigonometry, Applications of Trigonometry CBSE Class X Project
A powerpoint presentation on the topic applications of trigonometry with an introduction to trigonometry.
By Spandan Bhattacharya
Student
Introduction to trigonometry
This document discusses trigonometric ratios and identities. It defines trigonometric ratios as relationships between sides and angles of a right triangle. Specific ratios are defined for angles of 0, 30, 45, 60, and 90 degrees. Complementary angle identities are examined, showing ratios are equal for complementary angles (e.g. sin(90-A)=cos(A)). Trigonometric identities are derived from the Pythagorean theorem, including cos^2(A) + sin^2(A) = 1, sec^2(A) = 1 + tan^2(A), and cot^2(A) + 1 = cosec^2(A). Examples are provided to demonstrate using identities when
History of trigonometry2
Trigonometry developed from studying right triangles in ancient Egypt and Babylon, with early work done by Hipparchus and Ptolemy. It was further advanced by Indian, Islamic, and Chinese mathematicians. Key developments include Madhava's sine table, al-Khwarizmi's sine and cosine tables, and Shen Kuo and Guo Shoujing's work in spherical trigonometry. European mathematicians like Regiomontanus, Rheticus, and Euler established trigonometry as a distinct field and defined functions analytically. Trigonometry is now used in many areas beyond triangle calculations.
Maths project some applications of trignometry- class10 ppt
The document provides an introduction to trigonometry and its applications. It discusses how trigonometry deals with triangles, particularly right triangles, and involves angles and relationships between sides. The document then gives examples of using basic trigonometric ratios like sine, cosine, and tangent to solve problems involving unknown heights or distances. It provides historical context on how trigonometry was used in ancient times for applications like determining the height of structures. Overall, the document outlines fundamental trigonometric concepts and illustrates how trigonometry can be applied to calculate unknown measurements.
Tangencias1
The document provides instructions to draw a circle that is tangent to two lines, m and n, with a radius of 10 millimeters. The steps are: 1) draw the angle bisector of lines m and n, 2) draw a perpendicular segment from a point on line n, 3) use a compass to draw an arc with a 10mm radius through the perpendicular point, 4) draw a parallel line to n through the arc point, and 5) draw another perpendicular from this parallel line to find the tangent point and complete the circle. Variations can be made by changing the lines or radius.
Trigonometric function
This document provides information about trigonometric functions including:
- The objectives are to convert between degrees and radians, recognize trigonometric identities, and solve trigonometric equations.
- Trigonometry has a long history dating back to ancient civilizations for measuring distances and heights. It is now widely used in fields like astronomy.
- It discusses angles, the unit circle, trigonometric ratios, special angle values, identities, conversions between degrees and radians, and solving trigonometric equations.
Trigonometry
The document provides information about trigonometry at the foundation and pass levels. At the foundation level, students should be able to solve problems using right-angled triangles, Pythagoras' theorem, and calculating trig functions between 0-90 degrees. At pass level, students must also be able to use trigonometry to calculate triangle area, use sine and cosine rules to solve 2D problems, define trig functions for all values, and calculate areas of circles and arcs. The document then explains how to graph trig functions like sine, cosine, and tangent, noting their periodic properties.
G5 trigonometry
The document discusses the history of trigonometry and the group's project to use trigonometry to measure the height of a church. It provides background on important historical figures who developed trigonometry like Hipparchus, Ptolemy, and Muslim astronomers. It then describes how the group used a homemade quadrant and trigonometric calculations to determine the church was approximately 14.57 meters tall. The group felt the project was a good learning experience but took a long time to complete carefully.
Introduction to trigonometry
This document provides an introduction to trigonometry. It defines trigonometry as dealing with relations of sides and angles of triangles. It discusses the history of trigonometry and defines the six trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent). It provides the ratios for some specific angles and identities relating the ratios. It describes applications of trigonometry in fields like astronomy, navigation, architecture, and more.
Trigonometry basics and uses
This ppt has explanation of Trigonometric Definition, Diagrammatic Explanation of Trigonometric Table, its uses, Standard identities and MCQs.
Math project some applications of trigonometry
Trigonometry deals with relationships between sides and angles of triangles. It has many applications including calculating heights and distances that are otherwise difficult to measure directly. For example, Thales of Miletus used trigonometry to calculate the height of the Great Pyramid in Egypt by comparing the lengths of shadows at different times of day. Later, Hipparchus constructed trigonometric tables and used trigonometry and angular measurements to determine the distance to the moon. Today, trigonometry is widely used in fields like surveying, navigation, physics, and engineering.
Trigonometry project
Trigonometry is the branch of mathematics dealing with triangles and trigonometric functions of angles. It is derived from Greek words meaning "three angles" and "measure". Trigonometry specifically studies relationships between sides and angles of triangles, and calculations based on trigonometric functions like sine, cosine, and tangent. Trigonometry has many applications in fields like astronomy, navigation, architecture, engineering, and more.
some applications of trigonometry 10th std.
Trigonometry is mainly used in astronomy to measure distances of various stars. It is also used in measurement of heights of mountains, buildings, monument, etc.The knowledge of trigonometry also helps us to construct maps, determine the position of an island in relation to latitudes, longitudes
Introduction to trignometry
INTRODUCTION TO TRIGNOMETRY OF CLASS 10. IT ALSO INCLUDES ALL TOPIC OF TRIGNOMETRY OF CLASS 10 WITH PHOTOS AND DERIVATIOM
21 trigonometry
Trigonometry can be covered in 15 minutes by focusing on right triangles. The Pythagorean theorem states that the square of the hypotenuse equals the sum of the squares of the other two sides. The sine, cosine, and tangent ratios relate the lengths of sides of a right triangle to an angle and do not depend on the triangle's size. Java's Math class contains methods for calculating trigonometric functions using radians as input. Memorizing the ratio names can be aided by mnemonics like "Some Old Horse Caught Another Horse Taking Oats Away".
Trigonometry
Kartikeya Pandey thanks his teacher Ms. Meha Bhargava and principal Ms. Jasleen Kaur for allowing him to complete a project on trigonometry. He also thanks his parents and friends for their help. The document then provides information on trigonometry including its origins in ancient mathematics, definitions of key terms like sine, cosine, and tangent. It also discusses right triangles, angle measurement in degrees and radians, trigonometric functions, trigonometric identities, and applications of trigonometry.
Trigonometry maths x vikas kumar
Vikas Kumar presented on trigonometry, beginning with definitions and history. Trigonometry deals with relationships in triangles, especially right triangles, and trigonometric functions like sine, cosine, and tangent. It has many applications including architecture, astronomy, digital imaging, waves, and engineering. Trigonometry underlies techniques like triangulation used in fields as diverse as mapmaking, medical imaging, and computer graphics.
Board paper maths
1. The document contains 34 math and geometry problems for a summative assessment.
2. Problems involve topics like arithmetic progressions, geometry of circles, triangles, probabilities, and quadratic equations.
3. Students are asked to find lengths, areas, probabilities, sums of arithmetic progressions, and solve equations.
02 question-paper-maths-x
This 6-page document contains the questions and instructions for a mathematics summative assessment for Class X students. It is divided into 4 sections with a total of 34 questions. Section A contains 8 multiple choice questions worth 1 mark each. Section B has 6 short answer questions worth 2 marks each. Section C contains 10 questions worth 3 marks each. Section D has 10 questions worth 4 marks each, some with internal choices. Calculators are not permitted and there is no overall choice between questions.
More Related Content
What's hot
Trigonometry
Trigonometry deals with relationships between sides and angles of triangles, especially right triangles. It has been studied since ancient times and is used across many fields including astronomy, navigation, architecture, engineering, and digital imaging. Trigonometric functions relate ratios of sides of a right triangle to an angle of the triangle. These functions and their relationships are important tools that are applied in problems involving waves, forces, rotations, and more.
Trigonometry maths school ppt
Trigonometry is the branch of mathematics that deals with triangles, especially right triangles. It has been used for over 4000 years, originally to calculate sundials. Key trigonometric functions are the sine, cosine, and tangent, which relate the angles and sides of a right triangle. Trigonometric identities and the trig functions of complementary angles are also discussed. Trigonometry has many applications, including in astronomy, navigation, engineering, optics, and more. It allows curved surfaces to be approximated in architecture using flat panels at angles.
Trigonometry, Applications of Trigonometry CBSE Class X Project
A powerpoint presentation on the topic applications of trigonometry with an introduction to trigonometry.
By Spandan Bhattacharya
Student
Introduction to trigonometry
This document discusses trigonometric ratios and identities. It defines trigonometric ratios as relationships between sides and angles of a right triangle. Specific ratios are defined for angles of 0, 30, 45, 60, and 90 degrees. Complementary angle identities are examined, showing ratios are equal for complementary angles (e.g. sin(90-A)=cos(A)). Trigonometric identities are derived from the Pythagorean theorem, including cos^2(A) + sin^2(A) = 1, sec^2(A) = 1 + tan^2(A), and cot^2(A) + 1 = cosec^2(A). Examples are provided to demonstrate using identities when
History of trigonometry2
Trigonometry developed from studying right triangles in ancient Egypt and Babylon, with early work done by Hipparchus and Ptolemy. It was further advanced by Indian, Islamic, and Chinese mathematicians. Key developments include Madhava's sine table, al-Khwarizmi's sine and cosine tables, and Shen Kuo and Guo Shoujing's work in spherical trigonometry. European mathematicians like Regiomontanus, Rheticus, and Euler established trigonometry as a distinct field and defined functions analytically. Trigonometry is now used in many areas beyond triangle calculations.
Maths project some applications of trignometry- class10 ppt
The document provides an introduction to trigonometry and its applications. It discusses how trigonometry deals with triangles, particularly right triangles, and involves angles and relationships between sides. The document then gives examples of using basic trigonometric ratios like sine, cosine, and tangent to solve problems involving unknown heights or distances. It provides historical context on how trigonometry was used in ancient times for applications like determining the height of structures. Overall, the document outlines fundamental trigonometric concepts and illustrates how trigonometry can be applied to calculate unknown measurements.
Tangencias1
The document provides instructions to draw a circle that is tangent to two lines, m and n, with a radius of 10 millimeters. The steps are: 1) draw the angle bisector of lines m and n, 2) draw a perpendicular segment from a point on line n, 3) use a compass to draw an arc with a 10mm radius through the perpendicular point, 4) draw a parallel line to n through the arc point, and 5) draw another perpendicular from this parallel line to find the tangent point and complete the circle. Variations can be made by changing the lines or radius.
Trigonometric function
This document provides information about trigonometric functions including:
- The objectives are to convert between degrees and radians, recognize trigonometric identities, and solve trigonometric equations.
- Trigonometry has a long history dating back to ancient civilizations for measuring distances and heights. It is now widely used in fields like astronomy.
- It discusses angles, the unit circle, trigonometric ratios, special angle values, identities, conversions between degrees and radians, and solving trigonometric equations.
Trigonometry
The document provides information about trigonometry at the foundation and pass levels. At the foundation level, students should be able to solve problems using right-angled triangles, Pythagoras' theorem, and calculating trig functions between 0-90 degrees. At pass level, students must also be able to use trigonometry to calculate triangle area, use sine and cosine rules to solve 2D problems, define trig functions for all values, and calculate areas of circles and arcs. The document then explains how to graph trig functions like sine, cosine, and tangent, noting their periodic properties.
G5 trigonometry
The document discusses the history of trigonometry and the group's project to use trigonometry to measure the height of a church. It provides background on important historical figures who developed trigonometry like Hipparchus, Ptolemy, and Muslim astronomers. It then describes how the group used a homemade quadrant and trigonometric calculations to determine the church was approximately 14.57 meters tall. The group felt the project was a good learning experience but took a long time to complete carefully.
Introduction to trigonometry
This document provides an introduction to trigonometry. It defines trigonometry as dealing with relations of sides and angles of triangles. It discusses the history of trigonometry and defines the six trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent). It provides the ratios for some specific angles and identities relating the ratios. It describes applications of trigonometry in fields like astronomy, navigation, architecture, and more.
Trigonometry basics and uses
This ppt has explanation of Trigonometric Definition, Diagrammatic Explanation of Trigonometric Table, its uses, Standard identities and MCQs.
Math project some applications of trigonometry
Trigonometry deals with relationships between sides and angles of triangles. It has many applications including calculating heights and distances that are otherwise difficult to measure directly. For example, Thales of Miletus used trigonometry to calculate the height of the Great Pyramid in Egypt by comparing the lengths of shadows at different times of day. Later, Hipparchus constructed trigonometric tables and used trigonometry and angular measurements to determine the distance to the moon. Today, trigonometry is widely used in fields like surveying, navigation, physics, and engineering.
Trigonometry project
Trigonometry is the branch of mathematics dealing with triangles and trigonometric functions of angles. It is derived from Greek words meaning "three angles" and "measure". Trigonometry specifically studies relationships between sides and angles of triangles, and calculations based on trigonometric functions like sine, cosine, and tangent. Trigonometry has many applications in fields like astronomy, navigation, architecture, engineering, and more.
some applications of trigonometry 10th std.
Trigonometry is mainly used in astronomy to measure distances of various stars. It is also used in measurement of heights of mountains, buildings, monument, etc.The knowledge of trigonometry also helps us to construct maps, determine the position of an island in relation to latitudes, longitudes
Introduction to trignometry
INTRODUCTION TO TRIGNOMETRY OF CLASS 10. IT ALSO INCLUDES ALL TOPIC OF TRIGNOMETRY OF CLASS 10 WITH PHOTOS AND DERIVATIOM
21 trigonometry
Trigonometry can be covered in 15 minutes by focusing on right triangles. The Pythagorean theorem states that the square of the hypotenuse equals the sum of the squares of the other two sides. The sine, cosine, and tangent ratios relate the lengths of sides of a right triangle to an angle and do not depend on the triangle's size. Java's Math class contains methods for calculating trigonometric functions using radians as input. Memorizing the ratio names can be aided by mnemonics like "Some Old Horse Caught Another Horse Taking Oats Away".
Trigonometry
Kartikeya Pandey thanks his teacher Ms. Meha Bhargava and principal Ms. Jasleen Kaur for allowing him to complete a project on trigonometry. He also thanks his parents and friends for their help. The document then provides information on trigonometry including its origins in ancient mathematics, definitions of key terms like sine, cosine, and tangent. It also discusses right triangles, angle measurement in degrees and radians, trigonometric functions, trigonometric identities, and applications of trigonometry.
Trigonometry maths x vikas kumar
Vikas Kumar presented on trigonometry, beginning with definitions and history. Trigonometry deals with relationships in triangles, especially right triangles, and trigonometric functions like sine, cosine, and tangent. It has many applications including architecture, astronomy, digital imaging, waves, and engineering. Trigonometry underlies techniques like triangulation used in fields as diverse as mapmaking, medical imaging, and computer graphics.
What's hot (20)
Trigonometry, Applications of Trigonometry CBSE Class X Project
Trigonometry, Applications of Trigonometry CBSE Class X Project
Maths project some applications of trignometry- class10 ppt
Maths project some applications of trignometry- class10 ppt
Similar to Class 10 maths PAPER RAJASTHAN BOARD
Board paper maths
1. The document contains 34 math and geometry problems for a summative assessment.
2. Problems involve topics like arithmetic progressions, geometry of circles, triangles, probabilities, and quadratic equations.
3. Students are asked to find lengths, areas, probabilities, sums of arithmetic progressions, and solve equations.
02 question-paper-maths-x
This 6-page document contains the questions and instructions for a mathematics summative assessment for Class X students. It is divided into 4 sections with a total of 34 questions. Section A contains 8 multiple choice questions worth 1 mark each. Section B has 6 short answer questions worth 2 marks each. Section C contains 10 questions worth 3 marks each. Section D has 10 questions worth 4 marks each, some with internal choices. Calculators are not permitted and there is no overall choice between questions.
Math12 lesson3
1. Solving right triangles involves sketching the triangle, identifying given and unknown parts, and using trigonometric functions, the Pythagorean theorem, or angle relationships to calculate unknowns.
2. Angles of elevation are formed between an observer's line of sight above the horizontal, while angles of depression are below the horizontal. These can be used to calculate heights or distances.
3. Bearing is the acute angle from north or south, while course is the clockwise angle from north along the line of travel. These specify directions.
Eg1 n
1. The document discusses various engineering drawing concepts including scales, conic sections, engineering curves, and units of measurement.
2. Scales include plain, diagonal, and comparative scales. Conic sections include ellipses, parabolas, and hyperbolas. Engineering curves include cycloids, epicycloids, hypocycloids, and involutes.
3. The document provides examples of scale construction and contains questions related to engineering drawing concepts.
UNIT 4 PEA306.ppt
The document provides information about mensuration and clocks:
Mensuration deals with geometric shapes, their areas, volumes, and parameters. It discusses calculating areas and volumes of 2D and 3D shapes like rectangles, squares, triangles, circles, cubes, cylinders, and spheres. Practice questions with solutions are provided to help understand these concepts.
Clocks are also discussed. The key parts of a clock include the dial, hour and minute hands. Formulas are given to calculate the angle between the hands based on the time. Practice questions on clocks focus on reading times from analog clocks and calculating angles between the hands.
CdEo5njkDLFm6Rno13.pptx
This document provides solutions to 16 questions about applications of trigonometry involving angles of elevation and depression. The questions calculate heights and distances using trigonometric ratios in right triangles formed by towers, poles, buildings, and other objects viewed from different points. The solutions demonstrate setting up and solving right triangle trig problems systematically to find the requested unknown values in each scenario.
10 maths-cbse-sample-papers-2017
This document is a sample question paper for a mathematics summative assessment for class 10. It has 4 sections with a total of 31 questions ranging from 1 to 4 marks. Section A has 4 one-mark questions, Section B has 6 two-mark questions, Section C has 10 three-mark questions, and Section D has 11 four-mark questions. The questions cover a wide range of mathematics topics including algebra, geometry, trigonometry, probability, and calculus. Students have 3 hours to complete the entire assessment.
2016 10 mathematics_sample_paper_sa2_03
The document is a sample paper for a mathematics exam consisting of 31 questions divided into 4 sections - A, B, C and D. Section A contains 4 multiple choice questions worth 1 mark each. Section B contains 6 questions worth 2 marks each. Section C contains 10 questions worth 3 marks each. Section D contains 11 questions worth 4 marks each. The paper is for a Class 10 exam and students are not permitted to use a calculator. It provides instructions for the exam and includes mathematics questions testing concepts like probability, geometry, trigonometry, and algebra.
10 std Areas Related To Circle.pptx
This document contains a series of math problems related to calculating areas of circles, sectors, segments and combined regions involving circles. It includes 16 practice exercises involving concepts like finding the radius of a circle given circumference, calculating areas of sectors, segments, combined regions of overlapping circles, and real world applications involving circular regions. It is from a 10th standard math textbook focusing on areas related to circles.
Arc Length & Area of a Sector.pptx
The document discusses the formulas for calculating the arc length and area of a sector of a circle, stating that the arc length is equal to the radius multiplied by the central angle and the area of a sector is equal to one-half the radius squared multiplied by the central angle. It provides examples of using these formulas to solve problems involving finding the arc length or area of a sector given the radius and central angle.
chapter_12_areas_related_to_book-circles.pdf
The document provides solutions to exercises from NCERT Class 10 Maths on areas related to circles. It includes step-by-step solutions to 14 questions calculating areas of circles, sectors, segments, and shaded regions. Questions involve finding radii of circles based on circumference or area, calculating areas of sectors, segments, and shaded portions of overlapping circles and geometric shapes. Diagrams are provided to visualize the geometry of each problem. Formulas used include those relating circumference, radius, diameter, and area to circles and sectors.
Chapter 2.2
The document discusses the area and volume of cones. It defines key terms like cone, radius, height, slant height and explains the formulas to calculate the surface area and volume of a cone. The surface area of a cone is calculated as πr(s+r) where r is the radius and s is the slant height. The volume of a cone is calculated as 1/3πr^2h, where r is the radius and h is the height. Several examples are provided to demonstrate calculating the surface area and volume of cones using the given radii and heights.
trigonometry
This document provides information about triangles, squares, and trigonometry. It begins by defining different types of triangles, including isosceles, equilateral, and scalene triangles. It then discusses squares and using the area formula. The document introduces Pythagoras' theorem and provides examples of using it to find missing side lengths in right triangles. It also covers sine, cosine, and tangent ratios. Exercises provide practice applying concepts like finding missing lengths, areas, and using trigonometric functions in right triangles.
Sample sample paper of class 10th sa2
This document contains a sample paper for class 10th with 31 questions across 4 sections - A, B, C and D. The questions cover topics in mathematics, geometry and probability. The final two questions ask about child labour and steps to abolish it.
11.4 circumference and arc length
The document discusses circumference and arc length of circles. It defines circumference as the distance around a circle and gives the formulas C = πd and C = 2πr. Arc length is defined as a portion of the circumference, and its formula relates the arc length, circumference, and central angle in degrees. Several examples calculate circumference, arc length, radius given circumference, and compare revolutions of different tires given their circumference.
11.4 circumference and arc length
The document discusses circumference and arc length of circles. It defines circumference as the distance around a circle and gives the formulas C = πd and C = 2πr. Arc length is defined as a portion of the circumference, and its formula relates the arc length, circumference, and central angle in degrees. Several examples calculate circumference, arc length, radius given circumference, and compare revolutions of different tires given their circumference.
The earth as a sphere
THE EARTH AS A SPHERE
The earth surface is very close to being a sphere. Consider a sphere representing the shape of the earth as below.
Math 9 exam prelim
This document appears to be a mathematics exam for a 9th grade class covering topics on geometry including properties of parallelograms, triangles, trapezoids, kites, and proportions. It consists of two parts - a true/false section and a multiple choice section containing 35 questions testing students' understanding of shapes, ratios, proportions, perimeter, area, and other geometric concepts. The exam is assessing students' mastery of key ideas in the 9th grade mathematics curriculum through practical application questions.
C22 22.1
The document contains 19 math problems involving calculating surface areas and costs of coating cylindrical objects like wells, vessels, and pillars. The problems require calculating the curved surface area and total surface area of cylinders given dimensions like diameter, radius, and height. They also involve finding costs by applying given rates to the surface areas.
Fundamentals of Trigonometry.pdf
This document provides an overview of fundamentals of trigonometry including:
- There are two main types of trigonometry - plane and spherical trigonometry. Plane trigonometry deals with angles and triangles in a plane, while spherical trigonometry deals with triangles on a sphere.
- An angle is defined as the union of two rays with a common endpoint, and can be measured in degrees or radians. There are four quadrants used to classify angles in the Cartesian plane.
- The trigonometric ratios of sine, cosine, and tangent are defined based on the sides of a right triangle containing the angle of interest. These ratios are fundamental functions in trigonometry.
Similar to Class 10 maths PAPER RAJASTHAN BOARD (20)
More from Arvind Saini
Rbsc class-9-maths-chapter-4
This document provides solutions to exercises from NCERT Class 9 Maths Chapter 4 on linear equations in two variables. It includes:
1) Solving linear equations representing word problems and expressing equations in the form ax + by + c = 0.
2) Finding solutions that satisfy given linear equations and determining the value of k if a given point is a solution.
3) Drawing graphs of various linear equations by plotting points that satisfy each equation.
4) Giving two equations of lines passing through a point and noting there are infinitely many such lines.
Class 7th practice EX 4.1 solution
1) The document provides instructions on solving various equations using different mathematical methods such as subtraction, addition, multiplication, and division.
2) Examples are provided such as solving equations like 6x - 3 = 18, 5x - 7 = 4, and x3 + 3x - 5 = 0.
3) Steps shown include isolating the variable, using inverse operations to solve for the variable, and checking the solution by substituting back into the original equation.
Class 7th p.ex 3.2 scan 25 jul-2020
This document contains a collection of random words, numbers and symbols with no clear meaning or context. It discusses various data points like family incomes and test scores but the information is disjointed and unclear. It performs some basic calculations like adding numbers and finding averages but without any explanation of purpose or usable conclusions. Overall the document appears to be nonsense without a coherent message to summarize.
Class 8th ex 2.2 advisor ncert based 2020 scan 24 jul-2020
This document appears to contain math problems and solutions written in an unfamiliar language or shorthand. It includes equations with variables, numbers, and arithmetic operations. References are made to ratios, currency values, coin amounts, and calculating totals or averages. The document evaluates different mathematical expressions and scenarios.
Class 8 ex 2.4 scan 24 jul-2020
The document appears to be working through a math word problem involving ages of family members. It sets up equations relating the ages of a father (F), mother (M), son (S) and daughter (D). It determines that F+10=M, S+5=D, and F-S=10. By substituting the equations into each other, it finds the age of the son to be 15 years old.
Class 8 ex 2.3 ncert based advisor solution
This document provides step-by-step instructions for solving a math equation. It explains that you should first obey brackets and exponents, then multiply and divide from left to right, and finally add and subtract from left to right. It works through an example equation applying these steps: (8-3)x3+15/3=6-3+7-3.
Mathematics Paper Class 7
1. The document contains a 10 question math test for 7th grade students covering topics like simplifying expressions, converting numbers to standard form, identifying complementary and supplementary angles, solving for unknown angles in triangles, and solving for original height using the Pythagorean theorem.
2. Questions 1-3 cover simplifying expressions, converting numbers, and identifying complementary vs supplementary angle pairs.
3. Questions 4-5 involve finding unknown angles where one angle measure is given and the angles are either complementary or in the same triangle.
4. Questions 6-9 require solving for unknown side lengths or angle measures in various triangle scenarios.
5. Question 10 uses the Pythagorean theorem to solve for the original
Mathematics Paper Class 9
The document contains 5 math problems: 1) Proving two angles are equal given information about angle bisectors. 2) Finding the measures of two angles in a figure. 3) Determining if a statement about two line segments being equal is true or false. 4) Finding the measure of an angle given other angle and side information. 5) Constructing an isosceles triangle with given side lengths. It also contains a quote about intelligence and character in education.
Mathematics Class 8 Paper
The document contains 10 math problems for an 8th grade test, including:
1) Finding the length and breadth of a rectangle given its perimeter and that its length exceeds breadth by 3 meters.
2) Calculating compound interest on Rs. 24,000 at 8% annually over several years.
3) Determining the population of a town 2 years ago if the population increases at 8% annually and is currently 17,496.
Math Paper Class 6
This document contains a 20 question math test with multiple choice and direct answer questions. The test has three sections: Section A contains 5 multiple choice questions involving fractions, mixed numbers, and geometry. Section B contains 3 direct answer questions about writing mixed fractions and fractions as decimals. Section C contains 12 one mark questions involving fractions, time, geometry, integers, and word problems. The test is worth a total of 20 marks and students have 90 minutes to complete it.
Rbse solutions for class 9 maths chapter 9 quadrilaterals ex 9.5
This document contains solutions to 4 questions about constructing trapezoids with given properties. Each question provides step-by-step instructions for drawing the lines and arcs needed to form a trapezoid meeting the specified conditions for side lengths, parallel sides, or angle measures. The solutions demonstrate how to use properties of parallel lines and angles, along with techniques like marking points along lines and drawing intersecting arcs, to geometrically construct the desired trapezoids.
Class 10 maths PAPER RBSE
This document contains an 11 question math assessment for class 10 students with questions on arithmetic progressions, multiples, least common multiples, quadratic equations, polynomials, irrational numbers, Euclid's algorithm, and division algorithms. The assessment contains mostly multi-concept questions worth 5 marks each and is allocated a time of 90 minutes. Students are encouraged to try their best and not give up in facing challenges.
Rbse solutions for class 10 maths chapter 16
The document contains solutions to 12 math questions about calculating properties of shapes like cuboids, cylinders, and boxes. The key details are:
1) Question 1 involves finding the surface area and volume of a cuboid with dimensions 5 cm x 9 cm x 12 cm.
2) Question 8 asks how many bricks are needed to build a wall based on its dimensions and the size of each brick.
3) Several questions involve finding surface areas, volumes, or radii of cylinders given various measurements like height, diameter, curved surface area, or total surface area.
Maths Paper RBSE class 7
1. This document is a practice test for 7th class mathematics from Nawal Public School in Chirawa. It contains 15 questions testing multiple choice, true/false, and subjective math skills. Questions cover topics like rational numbers, operations with fractions and decimals, squares, patterns, and order of operations.
2. The test has a maximum mark of 10 and a time limit of 40 minutes. It contains multiple choice questions worth 1 mark each, true/false questions worth 1 mark each, and subjective questions requiring calculations and explanations worth varying marks.
3. The test evaluates a range of math concepts and aims to prepare students for their unit test on these topics.
RBSE Unit test 1 class 9 maths
This document is a mathematics test for 9th class covering topics like operations with radicals, rationalizing denominators, polynomials, binomials, factorizing expressions using identities, and long division. The test has multiple choice questions worth 1 mark each about simplifying radicals, determining if expressions are rational/irrational, the type of polynomials, and properties of binomials. There are also true/false questions worth 1 mark each testing knowledge of polynomials, binomials, rational/irrational numbers. Long answer questions worth 2-3 marks involve rationalizing denominators, using factorizing identities, expressing decimals as fractions, and performing long division.
Rbse class 10 maths paper 1st unit test Paper
This document appears to be a mathematics test from Nawal Public School in Chirawa containing 13 questions covering topics like trigonometric ratios, angles, and algebraic expressions. Students are given 40 minutes to answer questions finding values of expressions, proving trigonometric identities, and solving problems involving angles of elevation and trees breaking at heights from the ground. The test aims to evaluate students' understanding of core math concepts.
Class 7 maths PAPER
This document contains a math assessment for Class 7 students at Nawal Public School in Chirawa. The assessment has 20 multiple choice and true/false questions testing concepts of rational numbers, equivalent fractions, and ordering rational numbers on a number line. It also includes fill-in-the-blank and greatest/equal questions. The assessment is 30 minutes long and was administered on August 19, 2019 as part of the 2019-2020 school session.
More from Arvind Saini (20)
Class 8th ex 2.2 advisor ncert based 2020 scan 24 jul-2020
Class 8th ex 2.2 advisor ncert based 2020 scan 24 jul-2020
Rbse solutions for class 9 maths chapter 9 quadrilaterals ex 9.5
Rbse solutions for class 9 maths chapter 9 quadrilaterals ex 9.5
Recently uploaded
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...Nguyen Thanh Tu Collection
https://app.box.com/s/qhtvq32h4ybf9t49ku85x0n3xl4jhr15How to Make a Field Mandatory in Odoo 17
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
The Diamonds of 2023-2024 in the IGRA collection
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Iván Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
PCOS corelations and management through Ayurveda.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...Nguyen Thanh Tu Collection
https://app.box.com/s/y977uz6bpd3af4qsebv7r9b7s21935vdLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...
Librarians are leading the way in creating future-ready citizens – now we need to update our spaces to match. In this session, attendees will get inspiration for transforming their library spaces. You’ll learn how to survey students and patrons, create a focus group, and use design thinking to brainstorm ideas for your space. We’ll discuss budget friendly ways to change your space as well as how to find funding. No matter where you’re at, you’ll find ideas for reimagining your space in this session.
Main Java[All of the Base Concepts}.docx
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingExcellence Foundation for South Sudan
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.Recently uploaded (20)
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Class 10 maths PAPER RAJASTHAN BOARD
- 1. 1. The shadow of a tower standing on a level ground is found to be 40 m longer when Sun's altitude is 30° than when it was 60°. Find the height of the tower. 2. The length of the shadow of a tower standing on level plane is found to be metres longer when the sun's altitude is 30° than when it was 45°. Prove that the height of tower is (√ ) metres. 3. The angle of elevation of a cloud from a point 20 m above a lake point A is 30°. if the angle of depression of its reflection from point A is 60° then find the distance cloud from a point A 4. A man standing on the deck of a ship, which is 10m above water level. He observes the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill is 30°. Calculate the distance of the hill from the ship and the height of the hill. 5. If angle of elevation of sun changes from 30° to 60°, then at these angles of elevation. Find the difference in the length of shadow of 15 m high pillar. 6. In figure, ABCD is a square of side 14 cm. Semi-circles are drawn with each side of square as diameter. Find the area of the shaded region. 7. All the vertices of a rhombus lie on a circle. Find the area of rhombus, if the area of circle is 1256 cm² 8. In figure, ABCD is a square of side 7 cm. DPBA and DQBC are quadrants of circles, each of radius 7 cm. Find the area of the shaded Class 6 Sub. MathsSub. Math's M.M. 50 Time 150 Mins Nawal Public Sr. School, Chirawa Pre-Board Test Session: 2019-2020
- 2. region. 9. Find the area of the shaded region in given figure, where ABCD is a square of side 28 cm 10. How many cones of 3cm radius and 6 cm in height are formed by melting a metallic sphere of radius 9 cm? 11. The diameter of a metallic sphere is 6cm. It is melted and drawn into a wire of length 36m find its radius. 12. The ratio of surface areas of two spheres is 4:9; find the ratio of their volumes. 13. If both ends of hollow cylinder are open. Its height is 20 cm and internal and external radius is 26 cm and 30 cm respectively. Find the volume of this hollow cylinder. 14. If ( ) , then what is the probability of “not A”? 15. A coin is tossed three times. Find the probability to get head or tail alternately. 16. Two player Ram and Shyam play a game of chess. It is given that probability that Ram wins the match is . What is the probability of winning of Shyam? All the BEST””” Do not worry about your difficulties in Mathematics. I can assure you mine are still greater. Albert Einstein