JEE Math Practice Question

Let a triangle be bounded by the lines L1 : 2x + 5y = 10; L2 : $$-$$4x + 3y = 12 and the line L3, which passes through the point P(2, 3), intersects L2 at A and L1 at B. If the point P divides the line-segment AB, internally in the ratio 1 : 3, then the area of the triangle is equal to :

1. A.$${{110} \over {13}}$$
2. B.$${{132} \over {13}}$$
3. C.$${{142} \over {13}}$$
4. D.$${{151} \over {13}}$$