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