CUET Mathematics - The angle between the line 2x = 3y = z and x- axis is: | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 2

Geometry

Medium

core

$\cos^{-1}(\frac{1}{3})$

$\cos^{-1}(\frac{3}{7})$

$\cos^{-1}(\frac{2}{7})$

$\cos^{-1}(\frac{1}{7})$

✅ Correct Option: 2

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Distance of the point $(2, 4, -1)$ from the line $\frac{10+2x}{2} = \frac{y+3}{4} = \frac{6-z}{9}$ is

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Match List-I with List-II

List-I	List-II
(A) Line : $x = 2y + 1 = z - 1$	(I) Crosses $xz$ plane at (1, 0, 1)
(B) Line : $x + 1 = 2y + 1 = z$	(II) Crosses $xz$ plane at (0, 0, 1)
(C) Line : $x - 1 = 2y = z + 1$	(III) Crosses $xz$ plane at (1, 0, -1)
(D) Line : $x - 1 = 2y = z - 1$	(IV) Crosses $xz$ plane at (1, 0, 2)

Choose the correct answer from the options given below:

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The shortest distance between the lines $\frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4}$ and $\frac{x-2}{4} = \frac{y-4}{6} = \frac{z-5}{8}$ is equal to

CUET Mathematics 2025 21 May Shift 2 PYQs

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