CBSE Past Year MCQ Quiz

Question 1 of 3

CBSE Board Exam 2024

If a line makes an angle of \(\frac{\pi}{4}\) with the positive directions of both \(x\)-axis and \(z\)-axis, then the angle which it makes with the positive direction of \(y\)-axis is :

A 0 B \(\frac{\pi}{4}\) C \(\frac{\pi}{2}\) D \(\pi\)

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Question 2 of 3

CBSE Board Exam 2024

If \(\alpha, \beta\) and \(\gamma\) are the angles which a line makes with positive directions of \(\mathrm{x}, \mathrm{y}\) and z axes respectively, then which of the following is not true ?

A \(\quad \cos ^2 \alpha+\cos ^2 \beta+\cos ^2 \gamma=1\) B \(\quad \sin ^2 \alpha+\sin ^2 \beta+\sin ^2 \gamma=2\) C \(\quad \cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma=-1\) D \(\quad \cos \alpha+\cos \beta+\cos \gamma=1\)

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Question 3 of 3

CBSE Board Exam 2025

If a line makes angles of \(\frac{3 \pi}{4}, \frac{\pi}{3}\) and \(\theta\) with the positive directions of \(x, y\) and z -axis respectively, then \(\theta\) is

A \(\frac{-\pi}{3}\) only B \(\frac{\pi}{3}\) only C \(\frac{\pi}{6}\) D \(\pm \frac{\pi}{3}\)

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CBSE Past Year MCQ Quiz