Let a triangle be bounded by the lines L 1 : 2x + 5y = 10; L 2 : - 4x + 3y = 12 and the line L 3 , which passes through the point P(2, 3), intersect L 2 at A and L, 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
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Points A lies on L 2

Points B lies on L 1

Points P divides AB internally in the ratio 1 : 3


Point 
Vertex C of triangle is the point of intersection


area 

are
sq. units.
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