If the two lines l₁ and l₂ are perpend...| 3D Geometry | JEE Main

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JEE MAIN 2022

26-06-2022_S1

Question

If the two lines $\ell_1: \frac{x-2}{3}=\frac{y+1}{-2}, z=2$ and $\ell_2: \frac{x-1}{1}=\frac{2 y+3}{\alpha}=\frac{z+5}{2}$ perpendicular, then an angle between the lines $l_2$ and $\ell_3: \frac{1-\mathrm{x}}{3}=\frac{2 \mathrm{y}-1}{-4}=\frac{\mathrm{z}}{4}$ is:

Select the correct option:

A

$\cos ^{-1}\left(\frac{29}{4}\right)$

B

$\sec ^{-1}\left(\frac{29}{4}\right)$

C

$\cos ^{-1}\left(\frac{2}{29}\right)$

D

$\cos ^{-1}\left(\frac{2}{\sqrt{29}}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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