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Trigonometry — Hard JEE math MCQ

Let $P$ be the image of the point $(3,1,7)$ with respect to the plane $x-y+z=3$. Then the equation of the plane passing through $P$ and containing the straight line $\frac{x}{1}=\frac{y}{2}=\frac{z}{1}$ is
  1. A. $x+y-3 z=0$
  2. B. $3 x+z=0$
  3. C. $x-4 y+7 z=0$
  4. D. $2 x-y=0$

Solution

The correct option is **C**.

MATH

hard • PYQ Reworded
Question
Read carefully, then pick the best option.
Let PP be the image of the point (3,1,7)(3,1,7) with respect to the plane x−y+z=3x-y+z=3. Then the equation of the plane passing through PP and containing the straight line x1=y2=z1\frac{x}{1}=\frac{y}{2}=\frac{z}{1} is
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Trigonometry — Hard JEE Mathematics MCQ | MyGoalPrep