CUET Mathematics - Acute angle between the lines x/3 = y/4 = z/5 and x-1/4 = y+1/-3 = z+10/5 is: | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 2

Geometry

Medium

core

$\frac{\pi}{2}$

$\frac{\pi}{3}$

$\frac{\pi}{6}$

$\frac{\pi}{4}$

✅ Correct Option: 2

Related questions:

21 May Shift 2

The shortest distance between the following lines:

$\vec{r} = (\hat{i} + \hat{j} - \hat{k}) + s(2\hat{i} + \hat{j} + \hat{k})$

$\vec{r} = (\hat{i} + \hat{j} + 2\hat{k}) + t(4\hat{i} + 2\hat{j} + 2\hat{k})$ , where s and t are scalars, is:

15 May Shift 2

Consider the equation of the line $\vec{r} = -\hat{i} + 2\hat{k} + \mu(4\hat{i} - \hat{j} + 2\hat{k})$ .

Match List-I with List-II

List-I	List-II
(A) It passes through the point	(I) 4, -1, 2
(B) Its direction ratios are	(II) $\frac{4}{\sqrt{21}}, \frac{-1}{\sqrt{21}}, \frac{2}{\sqrt{21}}$
(C) Its Cartesian form is	(III) (-1, 0, 2)
(D) Its direction cosines are	(IV) $\frac{x+1}{4} = \frac{y}{-1} = \frac{z-2}{2}$

Choose the correct answer from the options given below:

2 June Shift 1

The foot of the perpendicular drawn from the point $(1,6,3)$ to the line $\frac{x}{1} = \frac{y-1}{2} = \frac{z-2}{3}$ is

CUET Mathematics 2025 22 May Shift 2 PYQs