Q98 / 160 · AP EAMCET 2025 (24 MAY SHIFT 1) · Mathematics
Let $\mathrm{A}=(2,0,-1), \mathrm{B}=(1,-2,0), \mathrm{C}=(1,2,-1)$ and $\mathrm{D}=(0,-1,-2)$ be four points. If $\theta$ is the acute angle between the plane determined by $A, B, C$ and the plane determined by $\mathrm{A}, \mathrm{C}, \mathrm{D}$, then $\tan \theta=$
- A$\sqrt{\frac{14}{5}}$
- B$\frac{3}{\sqrt{14}}$
- Correct answerC$\frac{3}{\sqrt{5}}$
- D$\frac{\sqrt{5}}{3}$
Hence, the correct answer is option: 'C'.