Question

The ratio in which the point P(6, 6) divides the join of A(1,-4) and B(9,-12)
(A) 2:3
(B) 3:2
(C) 3:5
(D) 5:3​

Answer 1

Answer:

m1:m2=5:3.

Step-by-step explanation:

We have been given the point P(6,6) divides the join of A(1,-4) and B(9,-12).

Find the ratio in which the point P(6,6)(x,y) divides the join of A(1,-4)(x1,y1) and B(9,-12)(x2,y2) by using section formula as shown below:

$x=\frac{m1x2+m2x2}{m1+m2} \\6=\frac{m1(9)+m2(1)}{m1+m2}\\6=\frac{9m1+m2}{m1+m2} \\6m1+6m2=9m1+9m2\\6m1-9m1=m2-6m2\\-3m1=-5m2\\\frac{m1}{m2}=\frac{5}{3}$

Thus,the option(d) is correct m1:m2=5:3.