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Question

# The coordinates of the points P which divides (1,0) and (0,0) in 1:2 ratio are .......... .

A
(2,3)
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B
(23,3)
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C
(3,2)
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D
(23,0)
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Solution

## The correct option is D (23,0)We know that if a point P(x,y) divides the line segment AB joining the points A(x1,y1)&B(x2,y2) in the ratio m:n then, by the section formula, we havex=nx1+mx2m+n&y=ny1+my2m+n.Hence, m=1,n=2,A=(1,0) and B=(0,0)Let P(x,y) be the required point. ∴ x=(1×0)+(2×1)1+2=0+23=23and y=(1×0)+(2×0)1+2=0+03=0 Therefore, the coordinates of the point is (23,0).

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