The plane 2x – 3y + 6z – 11 = 0 makes an angle sin−1 (a) with x-axis. The value of ‘a’ is equal to:
Answer & explanation
Correct answer: option 3
If ' $\theta$ ' be the angle between the plane and x-axis, then
$\sin \theta=\frac{2}{\sqrt{4+9+36}}=\frac{2}{7}$
$\Rightarrow \theta=\sin ^{-1}\left(\frac{2}{7}\right)$
$\Rightarrow a=\left(\frac{2}{7}\right)$