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JEE Math Practice Question

The equation of the plane passing through the line of intersection of the planes $$\overrightarrow r .\left( {\widehat i + \widehat j + \widehat k} \right) = 1$$ and $$\overrightarrow r .\left( {2\widehat i + 3\widehat j - \widehat k} \right) + 4 = 0$$ and parallel to the x-axis is :

  1. A.$$\overrightarrow r .\left( {\widehat j - 3\widehat k} \right) + 6 = 0$$
  2. B.$$\overrightarrow r .\left( {\widehat i + 3\widehat k} \right) + 6 = 0$$
  3. C.$$\overrightarrow r .\left( {\widehat i - 3\widehat k} \right) + 6 = 0$$
  4. D.$$\overrightarrow r .\left( {\widehat j - 3\widehat k} \right) - 6 = 0$$

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