1.

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)

Answer»

2:3 internally
2:3 externally
3:2 internally
3:2 externally

Solution :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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