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 answer
    C
    $\frac{3}{\sqrt{5}}$
  • D
    $\frac{\sqrt{5}}{3}$

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

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