Q96 / 160 · AP EAMCET 2025 (21 MAY SHIFT 2) · Mathematics
If $O(0,0,0), A(1,2,1), B(2,1,3)$ and $C(-1,1,2)$ are the vertices of a tetrahedron, then the acute angle between its face $O A B$ and edge $B C$ is
- A$\operatorname{Cos}^{-1}\left(\frac{6 \sqrt{2}}{5 \sqrt{7}}\right)$
- Correct answerB$\operatorname{Sin}^{-1}\left(\frac{6 \sqrt{2}}{5 \sqrt{7}}\right)$
- C$\operatorname{Tan}^{-1}\left(\frac{6 \sqrt{2}}{5 \sqrt{7}}\right)$
- D$\frac{\pi}{2}$
Hence, the correct answer is option: 'B'.