CUET Mathematics - Let ABCD be a parallelogram with vertices A(2,2,a), B(1,0,0), C(1,3,a) and D, where a > 0. If the area of parallelogram is 5 square units, then the value of a is: | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 2

Geometry

Medium

core

$\sqrt{2}$

$2\sqrt{2}$

✅ Correct Option: 3

Related questions:

21st May Shift 2

Match the LIST-I with LIST-II

LIST-I (Line)		LIST-II (Direction cosiness)
A. $\vec{r} = (2\hat{i} - \hat{j} + \hat{k}) + \lambda(3\hat{i} + 2\hat{k})$		I. $\left\langle \dfrac{2}{\sqrt{5}}, \dfrac{1}{\sqrt{5}}, 0 \right\rangle$
B. $\dfrac{x-1}{2} = \dfrac{3-y}{1} = \dfrac{2z-1}{4}$		II. $\left\langle -\dfrac{1}{3}, \dfrac{2}{3}, -\dfrac{2}{3} \right\rangle$
C. $\dfrac{x+1}{1} = \dfrac{2y+1}{1}, z = -1$		III. $\left\langle \dfrac{3}{\sqrt{13}}, 0, \dfrac{2}{\sqrt{13}} \right\rangle$
D. $\dfrac{1-x}{1} = \dfrac{y}{2} = \dfrac{1-z}{2}$		IV. $\left\langle \dfrac{2}{3}, -\dfrac{1}{3}, \dfrac{2}{3} \right\rangle$

Choose the correct answer from the options given below:

30 May Shift 3

The angle between the two planes $x + y - z = 3$ and $3x + 2y + z = 5$ is :

23 May Shift 3

The angle between the lines $\vec{r} = 3\hat{i} + 2\hat{j} - 4\hat{k} + \lambda(\hat{i} + 2\hat{j} + 2\hat{k})$ and $\vec{r} = 5\hat{j} - 2\hat{k} + \mu(3\hat{i} + 2\hat{j} + 6\hat{k})$ is :

CUET Mathematics 2026 21st May Shift 2 PYQs

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