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Question
In the figure given below, the line segment AB meets X-axis at A and Y-axis at B. The point P (- 3, 4) on AB divides it in the ratio 2 : 3. Find the coordinates of A and B.
Solution
AP : PB = 2 : 3
Let A(x, 0) and B(0, y)
∴ By section formula
`(2 xx 0 + 3 xx x)/(2 + 3)` = -3
⇒ 3x = -15
x = -5
and `(2 xx y + 3 xx 0)/(2 + 3)` = 4
⇒ 2y = 20
⇒ y = 10
∴ Coordinates of A = (x, 0) = (-5, 0)
and B = (0, y) = (0, 10).
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