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

(4, – 4)

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(– 3, 1)

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(– 4, 4)

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(1, – 3)

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Solution

The correct option is C
(– 4, 4)

$x$ = $\frac{m x_{2} + n x_{1}}{m + n}$ = $\frac{2 (- 5) + 1 (- 2)}{2 + 1}$ = -4

$y$ = $\frac{m y_{2} + n y_{1}}{m + n}$ = $\frac{2 (7) + 1 (- 2)}{2 + 1}$ = 4

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Calculate the ratio in which the line joining the points (-3,-1) and (5, 7) is divided by the line x = 2. Also, find the co-ordinates of the point of intersection.

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Q. The coordinates of the points which divides the join of

(- 2, - 2)

and

(- 5, 7)

in the ratio

2 : 1

is:

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

The correct option is C (– 4, 4) x = mx2+nx1m+n = 2(−5)+1(−2)2+1 = -4 y = my2+ny1m+n = 2(7)+1(−2)2+1 = 4

The correct option is C
(– 4, 4)

$x$ = $\frac{m x_{2} + n x_{1}}{m + n}$ = $\frac{2 (- 5) + 1 (- 2)}{2 + 1}$ = -4

$y$ = $\frac{m y_{2} + n y_{1}}{m + n}$ = $\frac{2 (7) + 1 (- 2)}{2 + 1}$ = 4