TS EAMCET · Maths · Three Dimensional Geometry
If the angles made by a straight line with the coordinate axes are \(\alpha, \frac{\pi}{2}-\alpha, \beta\), then \(\beta\) is equal to
- A 0
- B \(\frac{\pi}{6}\)
- C \(\frac{\pi}{2}\)
- D \(\pi\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
We know that, if \(\alpha, \beta, \gamma\) are angles of a line which makes from the coordinate axes Also, \(\quad \cos ^2 \alpha+\cos ^2 \beta+\cos ^2 \gamma=1\) ...(i) But, given \(\alpha=\alpha, \beta=\frac{\pi}{2}-\alpha, \gamma=\beta\) From Eq. (i)…
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