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A(x(1),y(1)), B(x(2),y(2)), C(x(3),y(3))...

`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

Text Solution

Verified by Experts

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