Let α be the angle between... | 3D Geometry JEE Main 2021

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JEE MAIN 2021

25-02-21 S1

Question

Let $\alpha$ be the angle between the lines whose direction cosines satisfy the equations $l+\mathrm{m}-\mathrm{n}=0$ and $l^2+\mathrm{m}^2-\mathrm{n}^2 =0$. Then then value of $\sin ^4 \alpha+\cos ^4 \alpha$ is :

Select the correct option:

A

$\frac{3}{4}$

B

$\frac{3}{8}$

C

$\frac{5}{8}$

D

$\frac{1}{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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