This document contains 30 multiple choice questions from the 1995 IIT JEE mathematics exam. The questions cover topics in complex numbers, trigonometry, functions, vectors, and probability. No answers are provided. Students seeking solutions would need to visit an external website. The document provides an unsolved practice test to help students prepare for the competitive Indian engineering entrance exam.
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The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
3. Problem 02 If is a cube root of unity ,then equals 0 1 I
4. Problem 03 Let Z and w be two non-zero complex numbers such that .Then z equals a. b. c. d.
5. Problem 04 If p and q are roots of .Then p=1 p=1 or 0 p=-2 p=-2 or 0
6. Problem 05 Let a,b,c be positive numbers. The following system of equations in x,y, and z has no solution unique solution infinitely many solutions finitely many solutions
7. Problem 06 Let be a positive integer. Then the largest integer m such that is 127 63 64 32
8. Problem 07 In a triangle .Let D divide BC internally in the ratio 1:3.Then equals a. b. c. d.
9. 08 Problem The minimum value of the expression where are real numbers satisfying is positive zero negative -3
10. Problem 09 The orthocenter of the triangle formed by the lies is a. b. c. d.
11. Problem 10 The radius of the circle passing through the foci of the ellipse , and having its centre at (0,3) is 4 3
12. Problem 11 The function , where denotes the greatest integer function is discontinuous at all x all integer points no x x which is not an integer
13. 12 Problem Let be defined for all x>0and be continuous .Let satisfy . Then is bounded
14. Problem 13 On the interval the function takes its maximum value at the point 0
15. Problem 14 The function assumes its minimum value only of one point if a. b. c. d.
16. Problem 15 The slope of the tangent to curve .If the curve passes through the point (1,2),then the area of the region bounded by the curve, the x-axis and the line x=1 is 6
17. Problem 16 Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral, equals a. b. c. d.
18. 17 Problem The probability of India winning a test match against West Indies is 1/2.Assuming independence from match to match the probability that in a 5 match series India’s second win occurs at the third test is a. b. c. d.
19. Problem 18 Let . If d is a unit vector such that , then d equals a. b. c. d.
20. Problem 19 Let u,v and w be vectors such that u+v+w=0.If ,then the value of u.v+v.w+w.u is 47 -25 0 25
21. Problem 20 If A,B and C are three non-coplanar vectors, then equals 0
22. Problem 21 If p,q,r are positive and are in A.P.,the roots of quadratic equation are all real for all p and r no p and r
23. Problem 22 The function is increasing on decreasing on increasing on and decreasing on decreasing on and increasing on
24. Problem 23 The value of represents the greatest integer function, is a. b. c. d.
25. Problem 24 If , then the constants A and B are ,respectively a. b. c. d.
27. Problem 26 Let z and w be two complex numbers such that .Then z equals 1 or i I or –i 1 or -1 I or -1
28. Problem 27 Consider a circle with its centre lying on the focus of the parabola such that it touches the directrix of the parabola.Then a point of intersection of the circle and the parabola is a. b. c. d.
29. Problem 28 The function is continuous at all points differentiable at all points. differentiable at all points except at x=1 and x=-1. continuous at all points except at x=1 and x=-1,where it is discontinuous.
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