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7. Coordinate Geometry
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Q8 of 49 Page 177

Find the coordinates of the points which divides the line segment joining A(-2, 2) and B(2, 8) into four equal parts.


⇒ Let x,y and z divide the line into 4 equal parts such that


AX = XY = YZ = ZB


⇒ X divides AB in ration 1:3





⇒ Y divides AB in ratio 1:1




Y(0,5)


⇒ Z divides AB in ratio 3:1





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6

If A and B are (-2, -2) and (2, -4) respectively. Find the coordinates of P such that and P AB lies on the segment AB.

7

Find the coordinates of points which divide the line segment joining A(-4, 0) and B(0, 6) into four equal parts.

9

Find the coordinates of the point which divides the line segment joining the points (a+b, a-b) and (a-b, a+b) in the ratio 3 : 2 internally.

10

Find the coordinates of centroid of the triangle with vertices following:

(-1, 3), (6, -3) and (-3, 6)

Questions · 49
7. Coordinate Geometry
1 1 1 1 2 3 4 5 6 7 8 9 9 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 10 10 1 1 1 2 2 2 3 4 5 1 1 1 1 1 1 1 1
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