Q. 84.1( 238 Votes )

If A and B are (– 2, – 2) and (2, – 4), respectively, find the coordinates of P such thatap = 3/7 aband P lies on the line segment AB

Answer :

To find: The coordinates of P
Given: Points A(-2, -2) and B(2, -4) and ratio AP:AB = 3:7

The coordinates of point A and B are ( - 2, - 2) and (2, - 4) respectively

AP = AB


Therefore, AP: PB = 3:4  


Point P divides the line segment AB in the ratio 3:4

By section formula,

If a point divides the point (x 1, y 1) and (x 2, y 2) in the ratio m:n

then,



(-2/7, -20/7) is the point which divides line in the ratio of 3:4.

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