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 2026

Assertion (A) : A line can have direction cosines \(\langle 1,1,1\rangle\)
Reason (R) : \(\cos \theta=1\) is possible for \(\theta=0\).

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 3 of 3

CBSE Board Exam 2025

The equation of a line parallel to the vector \(3 \hat{i}+\hat{j}+2 \hat{k}\) and passing through the point \((4,-3,7)\) is :

A \(x=4 \mathrm{t}+3, \mathrm{y}=-3 \mathrm{t}+1, \mathrm{z}=7 \mathrm{t}+2\) B \(x=3 \mathrm{t}+4, \mathrm{y}=\mathrm{t}+3, \mathrm{z}=2 \mathrm{t}+7\) C \(x=3 \mathrm{t}+4, \mathrm{y}=\mathrm{t}-3, \mathrm{z}=2 \mathrm{t}+7\) D \(x=3 \mathrm{t}+4, \mathrm{y}=-\mathrm{t}+3, \mathrm{z}=2 \mathrm{t}+7\)

Select one option. Answers are shown after the test.

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