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 answer
    B
    $\operatorname{Sin}^{-1}\left(\frac{6 \sqrt{2}}{5 \sqrt{7}}\right)$
  • C
    $\operatorname{Tan}^{-1}\left(\frac{6 \sqrt{2}}{5 \sqrt{7}}\right)$
  • D
    $\frac{\pi}{2}$

Hence, the correct answer is option: 'B'.

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