Q. 134.5( 6 Votes )
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.
If point P (x, y) divides the line segment A (x1, y1) and B(x2,y2)
Then the coordinates of P are:
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.
⇒ 3(m + n) = 8m + 2n
∴3m + 3n = 8m + 2n
∴ 5m = n
Hence, ratio is 1:5.
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