Question

Show that the straight line joining the points A(0, -1) and B(15, 2) divides the line joining the points C(-1, 2)and D(4, -5) internally in the ratio 2:3.

Answer 1

Given, A(0, -1) B (15, 2) divides the line on points C(-1, 2) and D(4, -5)

To Prove. Straight line divides in the ratio 2:3 internally

⇒ 5(y - 2) = -7(x + 1)

⇒ 5y - 10 = -7x - 7

Therefore, 7x +5y = 3 ---(2)

On solving equation (1) and (2)

X = 1 y = -4/5

Now, Point of the intersection of AB and CD is O (1, -4/5)

Let us Assume that AB divides CD at O in the ratio m:n, then