CBSE Past Year MCQ Quiz

Question 1 of 3

CBSE Board Exam 2026

For any two vectors \(\overrightarrow{\mathrm{a}}\) and \(\overrightarrow{\mathrm{b}}\), which of the following statements is always true?

A \(\vec{a} \cdot \vec{b} \leq|\vec{a}||\vec{b}|\) B \(|\vec{a}+\vec{b}| \geq|\vec{a}|+|\vec{b}|\) C \(|\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}|=|\overrightarrow{\mathrm{a}}|-|\overrightarrow{\mathrm{b}}|\) D \(|\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}| \geq|\overrightarrow{\mathrm{a}}||\overrightarrow{\mathrm{b}}|\)

Select one option. Answers are shown after the test.

Question 2 of 3

CBSE Board Exam 2024

Assertion (A) : Projection of \(\vec{a}\) on \(\vec{b}\) is same as projection of \(\vec{b}\) on \(\vec{a}\).
Reason (R) : Angle between \(\overrightarrow{\mathrm{a}}\) and \(\overrightarrow{\mathrm{b}}\) is same as angle between \(\overrightarrow{\mathrm{b}}\) and \(\overrightarrow{\mathrm{a}}\) numerically.

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 2024

If \(|\overrightarrow{\mathrm{a}}|=2\) and \(-3 \leq \mathrm{k} \leq 2\), then \(|\mathrm{k} \overrightarrow{\mathrm{a}}| \in\) :

A \([-6,4]\) B \([0,4]\) C \([4,6]\) D \([0,6]\)

Select one option. Answers are shown after the test.

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