CUET Mathematics - The acute angle between the lines r = (4i - j) + (2i + j - 3k) and x-1/1 = y+1/-3 = z-2/2 is | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 1

Geometry

Medium

core

$\frac{\pi}{6}$

$\frac{\pi}{4}$

$\frac{\pi}{3}$

$\frac{\pi}{2}$

✅ Correct Option: 3

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The direction cosines of a line equally inclined with the co-ordinate axes are

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If a line makes angles α, β and γ with positive x-axis, y-axis and z-axis respectively, then the value of

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Consider the lines $l_1: \frac{x-1}{0} = \frac{y-1}{1} = \frac{2-z}{1}$ and $l_2: \frac{x}{2} = \frac{y}{0} = \frac{2z-1}{-1}$ , then which of the following are correct?

(A) Direction Ratio's of $l_1 = <0, 1, 1>$

(B) Direction Ratio's of $l_2 = <2, 0, 2>$

(D) Angle between $l_1$ and $l_2$ is $\frac{2\pi}{3}$

Choose the correct answer from the options given below:

CUET Mathematics 2025 21 May Shift 1 PYQs

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