CUET Mathematics - Let us consider vector a = (c_2 x)i - 6j + 3k and b = (_2 x)i + 2j + (2c_2 x)k, then which of following statements are TRUE? (Where x R (set of real numbers)) (A) Vector a and b make obtuse angle for any x (0,∞) if c (-1,0) (B) Vector a and b makes obtuse angle for any x R if c > 0 (C) Vector a and b makes obtuse angle for any x (0,∞) if c (-4/3, -1] (D) Vectors a and b makes obtuse angle for x R if c (1,2) Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 1

Algebra

Hard

core

(A) and (B) Only

(B) and (D) Only

(A) and (C) Only

(A), (B) and (D) Only

✅ Correct Option: 3

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The area of triangle with vertices P, Q, R is given by (where $\vec{AB}$ = position vector of point B – position vector of point A)

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Area (in sq. units) of the triangle with vertices A (1,1,1) B (1,2,3) and C (2,3,1) is:

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Match List - I with List - II.

	List - I (Two given vector)		List - II (Projection of $\vec{a}$ on $\vec{b}$ )
(A)	$\vec{a} = \hat{i} - \hat{j}$ , $\vec{b} = \hat{i} + \hat{j}$	(I)	$\frac{2}{\sqrt{5}}$
(B)	$\vec{a} = \hat{i} + \hat{j}$ , $\vec{b} = 2\hat{i} - \hat{k}$	(II)	0
(C)	$\vec{a} = \hat{j} + \hat{k}$ , $\vec{b} = \hat{i} + \hat{k}$	(III)	$\sqrt{2}$
(D)	$\vec{a} = 2\hat{i} + 3\hat{j}$ , $\vec{b} = \hat{i} - \hat{k}$	(IV)	$\frac{1}{\sqrt{2}}$

Choose the correct answer from the options given below :

CUET Mathematics 2026 21st May Shift 1 PYQs