If two distinct point line| Vector & 3D |JEE - MAIN - 2022

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JEE MAIN 2022

28-6-2022 S1

Question

If two distinct point $Q, R$ lie on the line of intersection of the planes $-x+2 y-z=0$ and $3 x-5 y+2 z=0$ and $P Q=P R=\sqrt{18}$ where the point $P$ is $(1,-2,3)$, then the area of the triangle $P Q R$ is equal to

Select the correct option:

A

$\frac{2}{3} \sqrt{38}$

B

$\frac{4}{3} \sqrt{38}$

C

$\frac{8}{3} \sqrt{38}$

D

$\sqrt{\frac{152}{3}}$

✓ Correct! Well done.

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Solution

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