CUET Mathematics - The angle between the two lines whose direction cosines are given by the equations 4l+m+n=0 and 2mn+24nl+4lm=0, is | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 2

Geometry

Hard

core

$\pi/2$

$\cos^{-1}\left(\dfrac{19}{3\sqrt{41}}\right)$

$\cos^{-1}\left(\dfrac{12}{7\sqrt{10}}\right)$

✅ Correct Option: 3

Related questions:

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 :

26th May Shift 2

Match the LIST-I with LIST-II

	LIST-I Equation of line		LIST-II Point on the line, direction ratios of the line
A.	$\dfrac{x-5}{3} = \dfrac{y-2}{2} = \dfrac{z+4}{-8}$	I.	$(-3, -2, 8), \langle 5, 2, -4 \rangle$
B.	$\dfrac{x+5}{3} = \dfrac{y+2}{2} = \dfrac{z-4}{-8}$	II.	$(3, 2, -8), \langle 5, 2, -4 \rangle$
C.	$\dfrac{x-3}{5} = \dfrac{y-2}{2} = \dfrac{z+8}{-4}$	III.	$(-5, -2, 4), \langle 3, 2, -8 \rangle$
D.	$\dfrac{x+3}{5} = \dfrac{y+2}{2} = \dfrac{z-8}{-4}$	IV.	$(5, 2, -4), \langle 3, 2, -8 \rangle$

Choose the correct answer from the options given below:

29th May Shift 2

The perpendicular distance of point (1, 1, 3) on the line $\frac{x}{2}=\frac{y+1}{3}=\frac{-z-3}{-5}$ is

CUET Mathematics 2026 18th May Shift 2 PYQs

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