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JEE Math Practice Question

Let the plane 2x + 3y + z + 20 = 0 be rotated through a right angle about its line of intersection with the plane x $$-$$ 3y + 5z = 8. If the mirror image of the point $$\left( {2, - {1 \over 2},2} \right)$$ in the rotated plane is B(a, b, c), then :

  1. A.$${a \over 8} = {b \over 5} = {c \over { - 4}}$$
  2. B.$${a \over 4} = {b \over 5} = {c \over { - 2}}$$
  3. C.$${a \over 8} = {b \over { - 5}} = {c \over 4}$$
  4. D.$${a \over 4} = {b \over 5} = {c \over 2}$$

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