The angle between the lines 3-x/-7 = y+5/-5 = z/1 and x/1 = y/2 = z/3 is: Option 1: /4 Option 2: /3 Option 3: /2 Option 4: /6

The answer is '/2'. View full solution:

CUET Mathematics - The angle between the lines 3-x/-7 = y+5/-5 = z/1 and x/1 = y/2 = z/3 is: | PYQs + Solutions

CUET Mathematics 2026 25th May Shift 1

Geometry

Medium

core

$\pi/4$

$\pi/3$

$\pi/2$

$\pi/6$

✅ Correct Option: 3

Related questions:

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.	$(5, 2, -4), \langle 3, 2, -8 \rangle$

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16 May Shift 1

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

16 July Shift 2

The correct order of steps from A to E, for finding value of p, so that the lines $\frac{1-x}{3} = \frac{7y-14}{2p} = \frac{z-3}{2}$ and $\frac{7-7x}{3p} = \frac{y-5}{1} = \frac{6-z}{5}$ are at right angle is:

A. $p = \frac{70}{11}$

B. $(-3) \times \left(\frac{-3p}{7}\right) + 1 \times \left(\frac{2p}{7}\right) + 2 \times (-5) = 0$

C. $\frac{x-1}{-3} = \frac{y-2}{2\frac{p}{7}} = \frac{z-3}{2}$ , $\frac{x-1}{-\frac{3p}{7}} = \frac{y-5}{1} = \frac{z-6}{-5}$

D. $\frac{9p}{7} + \frac{2p}{7} - 10 = 0$

E. $\frac{11p}{7} = 10$

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CUET Mathematics 2026 25th May Shift 1 PYQs

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