# Find the ratio in which the points P (3/4, 5/12) divides the line segments joining the points A (1/2, 3/2) and B (2, - 5).

Given: Point P (3/4, 5/12), A (1/2, 3/2) and B (2, - 5)

To find: The ratio in which P divides the line.

Formula Used:

Section formula:

If point P (x, y) divides the line segment A (x1, y1) and B(x2,y2)

Then the coordinates of P are:

Explanation:

Given points are A (1/2 , 3/2) and B(2, - 5)

Let the point P (3/4, 5/12) divide AB in ratio m:n.

For point P on the line joined by the points A and B.

… (1)

And,

… (2)

Solving 1,

3(m + n) = 8m + 2n

3m + 3n = 8m + 2n

5m = n

Hence, ratio is 1:5.

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