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JEE Math Practice Question

Let Q be the mirror image of the point P(1, 2, 1) with respect to the plane x + 2y + 2z = 16. Let T be a plane passing through the point Q and contains the line $$\overrightarrow r = - \widehat k + \lambda \left( {\widehat i + \widehat j + 2\widehat k} \right),\,\lambda \in R$$. Then, which of the following points lies on T?

  1. A.(2, 1, 0)
  2. B.(1, 2, 1)
  3. C.(1, 2, 2)
  4. D.(1, 3, 2)

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