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Question

In the figure, 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.

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Solution

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Answer: 1 Mark

A is (x, 0), B is (0, y), P is (-3, 4), m1:m2=2:3
For P:
3=m1(0)+m2(x)m1+m2
3m13m2=m2x
3(2)3(3)=3(x)
15=3xx=5
Also, 4=(2)(y)+(3)(0)2+3
20=2yy=10
Coordinates of A are (-5,0) and that of B are (0,10)

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