CUET Mathematics - Cosine of the acute angle between the lines x-3/1 = y-2/1 = z-5/2 and x-1/6 = y-3/-3 = z+6/2 is | PYQs + Solutions

CUET Mathematics 2025 27 May Shift 1

Geometry

Medium

core

$\frac{11}{21}$

$\frac{13}{21}$

$\frac{10}{21}$

$\frac{8}{21}$

✅ Correct Option: 2

Related questions:

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If a line makes angles $\alpha$ , $\beta$ and $\gamma$ with the positive directions of coordinate axes respectively, then $\cos 2\alpha + \cos 2\beta + \cos 2\gamma$ is equal to

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The co-ordinates of the point at which the line $\frac{x-3}{3} = \frac{y+1}{2} = \frac{z-4}{-2}$ crosses x-y plane, are

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Match List-I with List-II

List-I	List-II
Lines	Direction Ratios
(A) $\frac{x - 1}{2} = \frac{2 - y}{1} = z$	(I) 1, 3, -1
(B) $\frac{2x - 1}{2} = \frac{y + 1}{3} = \frac{1 - z}{1}$	(II) 2, -2, 0
(C) $\frac{x + 1}{2} = \frac{3 - y}{2}, z = 2$	(III) 2, -1, 1
(D) $\frac{2x - 3}{4} = \frac{1 - 2y}{2} = \frac{z}{5}$	(IV) 2, -1, 5

Choose the correct answer from the options given below:

CUET Mathematics 2025 27 May Shift 1 PYQs

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