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Question

# The co-ordinates of the point which divides (internally) the line joining the points (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 are

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) Let the required point be (a, b). Here, point (a, b) divides the line joining the points (– 2, – 2) and (– 5, 7) in the ratio 2 : 1. We know that co-ordinates of the point that divides (internally) the line joining the points (x1,y1) and (x2,y2) in the ratio m : n are (x, y) = (mx2+nx1m+n,my2+ny1m+n) ⇒a = 2(−5)+1(−2)2+1 = -4 b = 2(7)+1(−2)2+1 = 4 Therefore, co-ordinates of the point are (-4, 4).

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