Let the Plane 2x+3y+z+20=0 be Rotated... |JEE Main 2022 | 3D

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26-06-2022_S1

Question

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

Select the correct option:

A

$\frac{a}{8}=\frac{b}{5}=\frac{c}{-4}$

B

$\frac{a}{4}=\frac{b}{5}=\frac{c}{-2}$

C

$\frac{a}{8}=\frac{b}{-5}=\frac{c}{4}$

D

$\frac{a}{4}=\frac{b}{5}=\frac{c}{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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