JEE Main 2022 Mathematics question
Let a triangle be bounded by the lines : 2x + 5y = 10; : −4x + 3y = 12 and the line , which passes through the point P(2, 3), intersects at A and 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
Answer: (2)
Solution
and meet at C = (−15/13, 32/13). Let , ) on and , ) on . P divides AB internally in the ratio 1 : 3, so and (4x_{1})$/3 × 3 + (10 -
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