Let (x−2)/3 = (y+1)/−2 = (z... | JEE Main 2022

JEE MAIN 2022

29-06-2022 S2

Question

Let $\frac{x-2}{3}=\frac{y+1}{-2}=\frac{z+3}{-1}$ lie on the plane $p x-q y+z=5$, for some $p, q \in \mathbb{R}$. The shortest distance of the plane from the origin is:

Select the correct option:

$\sqrt{\frac{3}{109}}$

$\sqrt{\frac{5}{142}}$

$\sqrt{\frac{5}{71}}$

$\sqrt{\frac{1}{142}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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