Question

`A(x_(1),y_(1)), B(x_(2),y_(2)), C(x_(3),y_(3))` are three vertices of a triangle ABC. `lx +my +n = 0` is an equation of the line L.
If P divides BC in the ratio 2:1 and Q divides CA in the ratio 1:3 then R divides AB in the ratio (P,Q,R are the points as in problem 1)
A. 2:3 internally
B. 2:3 externally
C. 3:2 internally
D. 3:2 externally

Answer 1

Correct Answer - D
From the above result `rArr (2)/(1).(1)/(3).(AR)/(RB) =- 1`
`:. (AR)/(RB) =- (3)/(2)`
`:. R` divides `AB 3:2` externally.