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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 B

(– 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)

a2(5)+1(2)2+1 = -4

b2(7)+1(2)2+1 = 4

Therefore, co-ordinates of the point are (-4, 4).


Mathematics

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