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JEE Math Practice Question

Let A($$-$$1, 1), B(3, 4) and C(2, 0) be given three points. A line y = mx, m > 0, intersects lines AC and BC at point P and Q respectively. Let A1 and A2 be the areas of $$\Delta$$ABC and $$\Delta$$PQC respectively, such that A1 = 3A2, then the value of m is equal to :

  1. A.1
  2. B.3
  3. C.2
  4. D.$${4 \over {15}}$$

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