Q. 15 D

# Find the ratio in which the line segment joining (-3,-4) and (3,5) is divided by (x,2). Also, find x.

Let C(x, 2) divides the line segment AB in the ratio m:n

Here, (x, y) = (x, 2); (x1, y1) = (-3, -4) and (x2, y2) = (3, 5)

So,

2m + 2n = 5m – 4n

2m – 5m = -4n – 2n

-3m = -6n

m = 2n

Now, the ratio is 2:1

Now,

3x = 6 – 3

3x = 3

x = 1

Hence, the ratio is 2:1 and the division is internal and the value of x = 1

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