CUET Mathematics - Let the equation of lines be as L_1: r = a_1 + _1 and L_2: r = a_2 + _2 such that d_1 - d_2 = 2i + 4j + 4k and b_1 x b_2 = 8i - 4k. Then the shortest distance between L_1 and L_2 is | PYQs + Solutions

CUET Mathematics 2025 29 May Shift 2

Geometry

Medium

core

$2\sqrt{3}$

✅ Correct Option: 3

Related questions:

22 May Shift 1

If a line makes angle $\pi/3$ and $\pi/4$ with the positive directions of x-axis and y-axis respectively, then the acute angle made by the line with positive direction of z-axis is

27 May Shift 1

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:

30 May Shift 1

The shortest distance between the lines $\vec{r} = (\hat{i} + 2\hat{j} + 3\hat{k}) + \lambda(2\hat{i} + 3\hat{j} + 4\hat{k})$ and $\vec{r} = (2\hat{i} + 4\hat{j} + 5\hat{k}) + \mu(4\hat{i} + 6\hat{j} + 8\hat{k})$ is equal to

CUET Mathematics 2025 29 May Shift 2 PYQs

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