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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), intersects L 2 at A and L 1 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. 13 110
2. 13 132
3. 13 142
4. 13 151

Correct answer: 13 132

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