Let be the mirror image of the point with respect to the plane . Let be a plane passing through the point and contains the line . Then, which of the following points lies on ?

Explanation: Solution 1. Find the coordinates of point (Mirror Image) The formula for the image of a point in the plane is: For point and plane : So, . 2. Determine the equation of plane Plane contains the line . Thus, passes through and is parallel to . It also passes through . Vector , which is parallel to . Normal vector : Equation of plane through : 3. Check options Point gives . Correct Option: (B)

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JEE 2022 — Mathematics PYQ

JEE | Mathematics | 2022

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 $\vec{r} = -\hat{k} + \lambda(\hat{i} + \hat{j} + 2\hat{k}), \lambda \in R$ . Then, which of the following points lies on $T$ ?

JEE 2022 — Mathematics PYQ

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