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 \(\pi\)

Select one option. Answers are shown after the test.

Question 2 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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Question 3 of 3

CBSE Board Exam 2026

If \(l_{1}, \mathrm{~m}_{1}, \mathrm{n}_{1}\) and \(l_{2}, \mathrm{~m}_{2}, \mathrm{n}_{2}\) are direction cosines of lines \(\mathrm{L}_{1}\) and \(\mathrm{L}_{2}\) respectively and \(\theta\) is the acute angle between them, then :

A \(\cos \theta=l_{1} l_{2}+\mathrm{m}_{1} \mathrm{~m}_{2}+\mathrm{n}_{1} \mathrm{n}_{2}\) B \(\sin \theta=l_{1} l_{2}+\mathrm{m}_{1} \mathrm{~m}_{2}+\mathrm{n}_{1} \mathrm{n}_{2}\) C \(\tan \theta=\frac{l_{1}}{l_{2}}+\frac{\mathrm{m}_{1}}{\mathrm{~m}_{2}}+\frac{\mathrm{n}_{1}}{\mathrm{n}_{2}}\) D \(\quad \cos \theta=\left|l_{1} l_{2}+\mathrm{m}_{1} \mathrm{~m}_{2}+\mathrm{n}_{1} \mathrm{n}_{2}\right|\)

Select one option. Answers are shown after the test.

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