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JEE Math Practice Question

If two distinct point Q, R lie on the line of intersection of the planes $$ - x + 2y - z = 0$$ and $$3x - 5y + 2z = 0$$ and $$PQ = PR = \sqrt {18} $$ where the point P is (1, $$-$$2, 3), then the area of the triangle PQR is equal to :

  1. A.$${2 \over 3}\sqrt {38} $$
  2. B.$${4 \over 3}\sqrt {38} $$
  3. C.$${8 \over 3}\sqrt {38} $$
  4. D.$$\sqrt {{{152} \over 3}} $$

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