KCET · Maths · Three Dimensional Geometry
If a line makes angles \(90^{\circ}, 60^{\circ}\) and \(\theta\) with \(\mathrm{x}, \mathrm{y}\) and z axes respectively, where \(\theta\) is acute, then the value of \(\theta\) is
- A \(\frac{\pi}{6}\)
- B \(\frac{\pi}{4}\)
- C \(\frac{\pi}{3}\)
- D \(\frac{\pi}{2}\)
Answer & Solution
Correct Answer
(A) \(\frac{\pi}{6}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \ell^2+\mathrm{m}^2+\mathrm{n}^2=1 \\ & \mathrm{n}^2=1-\frac{1}{4} \Rightarrow \mathrm{n}=\frac{\sqrt{3}}{2}\end{aligned}\)
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