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# MB1007 QR

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### MB1007 QR

1. 1. In this document you can review important • Definitions • Facts • Formulae • Procedures Class – X, CBSE MB1007: Coordinate Geometry Learn Math for Free. Visit www.ganitgurooz.com
2. 2. What is x-coordinate? Class – X,CBSE MB1007: Coordinate Geometry Important Definitions Topic : x-coordinate Learn Math for Free. Visit www.ganitgurooz.com
3. 3. What is x-coordinate? Class – X,CBSE Important Definitions Topic: x-coordinate The distance of a point from the -axis is called its -coordinate, or abscissa. y x Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
4. 4. What is y-coordinate? Class – X,CBSE Important Definitions Topic: y-coordinate Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
5. 5. What is y-coordinate? Class – X,CBSE Important Definitions Topic: y-coordinate The distance of a point from the -axis is called its -coordinate, or ordinate. x y Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
6. 6. Class – X,CBSE Important Facts Topic: Collinear Points Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry Fact # 1 If the area of a triangle formed by joining three points is zero then the points are collinear.
7. 7. Class – X,CBSE Important Formulae Topic: Distance Formula 1 1 2 2 2 2 2 1 2 1 The distance between two points , and , is given by the distance formulae . P x y Q x y PQ x x y y Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
8. 8. Class – X,CBSE Important Formulae Topic: Distance Formula 2 2 The distance of a point , from the origin is .P x y x y Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
9. 9. Class – X,CBSE Important Formulae Topic: Section Formula 1 1 2 2 1 2 1 2 2 1 1 2 2 1 1 2 1 2 The coordinates of the point , which divides the line segment joining the points , and , internally in the ratio : are , . P x y A x y B x y m m m x m x m y m y m m m m Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
10. 10. Class – X,CBSE Important Formulae Topic: Section Formula 2 1 2 1 If point P divides AB in the ratio :1, then the coordinates of the point P will be , . 1 1 k kx x ky y k k Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
11. 11. Class – X,CBSE Important Formulae Topic: Section Formula 1 1 2 2 1 2 1 2 The mid-point of the line segment joining the points , and , is given by , . 2 2 P x y Q x y x x y y Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
12. 12. Class – X,CBSE Important Formulae Topic: Area of Triangle 1 1 2 2 3 3 1 2 3 2 3 1 3 1 2 The area of the triangle formed by the points , , , and , is the numerical value of the expression 1 . 2 x y x y x y x y y x y y x y y Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
13. 13. How to find the distance between two points? Class – X,CBSE Important Procedures Topic: Distance Formula Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
14. 14. How to find the distance between two points? Class – X,CBSE Important Procedures Topic: Distance Formula Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry 1 1 2 2 2 2 2 1 2 1 : Identify the formulae for finding the distance between the two points , and , which is given by . x y x y x x y y Step1
15. 15. How to find the distance between two points? Class – X,CBSE Important Procedures Topic: Distance Formula Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry 1 1 2 2 2 2 2 1 2 1 : Identify the formulae for finding the distance between the two points , and , which is given by . x y x y x x y y Step1 1 2 1 2: Note down the given coordinates of each point i.e. , , , .x x y yStep 2
16. 16. How to find the distance between two points? Class – X,CBSE Important Procedures Topic: Distance Formula Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry 1 1 2 2 2 2 2 1 2 1 : Identify the formulae for finding the distance between the two points , and , which is given by . x y x y x x y y Step1 1 2 1 2: Note down the given coordinates of each point i.e. , , , .x x y yStep 2 : Substitute these values in the distance formulae.Step 3
17. 17. How to find the distance between two points? Class – X,CBSE Important Procedures Topic: Distance Formula Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry 1 1 2 2 2 2 2 1 2 1 : Identify the formulae for finding the distance between the two points , and , which is given by . x y x y x x y y Step1 1 2 1 2: Note down the given coordinates of each point i.e. , , , .x x y yStep 2 : Substitute these values in the distance formulae.Step 3 : Solve and find the distance between the two points.Step 4
18. 18. How to check if given three points are collinear or not (Method 1)? Class – X,CBSE Important Procedures Topic: Collinearity of Three Points Learn Math for Free. Visit www.ganitgurooz.com MB1007: Coordinate Geometry
19. 19. How to check if given three points are collinear or not (Method 1)? Class – X,CBSE Important Procedures Topic: Collinearity of Three Points Learn Math for Free. Visit www.ganitgurooz.com : The question identify the given three points A, B and C.Step 1 MB1007: Coordinate Geometry
20. 20. How to check if given three points are collinear or not (Method 1)? Class – X,CBSE Important Procedures Topic: Collinearity of Three Points Learn Math for Free. Visit www.ganitgurooz.com :The question identify the given three points A, B and C.Step 1 MB1007: Coordinate Geometry 2 2 2 1 2 1: Use the distance formulae for finding the distance between the three points that is to find the length AB, BC and AC. x x y yStep 2
21. 21. How to check if given three points are collinear or not (Method 1)? Class – X,CBSE Important Procedures Topic: Collinearity of Three Points Learn Math for Free. Visit www.ganitgurooz.com : The question identify the given three points A, B and C.Step 1 MB1007: Coordinate Geometry 2 2 2 1 2 1: Use the distance formulae for finding the distance between the three points that is to find the length AB, BC and AC. x x y yStep 2 3: Check if the sum of lengths of any two line segments is equal to the length of the third line segment.Step
22. 22. How to check if given three points are collinear or not (Method 1)? Class – X,CBSE Important Procedures Topic: Collinearity of Three Points Learn Math for Free. Visit www.ganitgurooz.com : The question identify the given three points A, B and C.Step 1 MB1007: Coordinate Geometry 2 2 2 1 2 1: Use the distance formulae for finding the distance between the three points that is to find the length AB, BC and AC. x x y yStep 2 : Check if the sum of lengths of any two line segments is equal to the length of the third line segment.Step 3 : If this is true then the given points are collinear or else they are not collinear.Step 4
23. 23. How to check if given three points are collinear or not (Method 2)? Class – X,CBSE Important Procedures Topic: Collinearity of Three Points Learn Math for Free. Visit www.ganitgurooz.com : From the question identify the given three points A, B and C.Step 1 MB1007: Coordinate Geometry
24. 24. How to check if given three points are collinear or not (Method 2)? Class – X,CBSE Important Procedures Topic: Collinearity of Three Points Learn Math for Free. Visit www.ganitgurooz.com : From the question identify the given three points A, B and C.Step 1 MB1007: Coordinate Geometry 1 2 3 2 3 1 3 1 2 : Find the area of the triangle formed by these three points using the area formulae 1 . 2 x y y x y y x y y Step 2
25. 25. How to check if given three points are collinear or not (Method 2)? Class – X,CBSE Important Procedures Topic: Collinearity of Three Points Learn Math for Free. Visit www.ganitgurooz.com : From the question identify the given three points A, B and C.Step 1 MB1007: Coordinate Geometry 1 2 3 2 3 1 3 1 2 : Find the area of the triangle formed by these three points using the area formulae 1 . 2 x y y x y y x y y Step 2 : If the area of the triangle is equal to zero then the given points are collinear otherwise they are not collinear. Step 3