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Question

The co-ordinates of the points which divides the line joining (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 is _____.


A

(4, – 4)

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B

(– 3, 1)

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C

(– 4, 4)

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D

(1, – 3)

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Solution

The correct option is C

(– 4, 4)


If a point P(x,y) divides the line joining (x1,y1) and (x2,y2) in the ratio m:n
then x = mx2+nx1m+n and y = my2+ny1m+n

x = mx2+nx1m+n = 2(5)+1(2)2+1 = -4

and y = my2+ny1m+n = 2(7)+1(2)2+1 = 4

the required point is (-4,4).


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