AP EAMCET · Maths · Straight Lines
If \(\alpha, 2 \alpha, 3 \alpha\) are angles made by a ray with \(\mathrm{OX}, \mathrm{OY}, \mathrm{OZ}\) axes respectively then all the possible values of \(\alpha\) are
- A \(\frac{\pi}{6}, \frac{\pi}{12}\)
- B \(\frac{\pi}{6}, \frac{\pi}{3}\)
- C \(\frac{\pi}{4}, \frac{\pi}{3}\)
- D \(\frac{\pi}{6}, \frac{\pi}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{\pi}{6}, \frac{\pi}{4}\)
Step-by-step Solution
Detailed explanation
If any ray makes \(\alpha, \beta\), angles with axes then \(\cos ^2 \alpha+\cos ^2 \beta+\cos ^2=1\) \(\cos ^2 \alpha+\cos ^2 2 \alpha+\cos ^2 3 \alpha=1\) at \(\alpha=\frac{\pi}{4}\)…
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