CUET Mathematics - The shortest distance between the lines r = (i + 2j + 3k) + (2i + 3j + 4k) and r = (2i + 4j + 5k) + (4i + 6j + 8k) is equal to | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 1

Geometry

Medium

core

$\sqrt{5}$

$\sqrt{29}$

$\sqrt{\frac{29}{5}}$

$\sqrt{\frac{5}{29}}$

✅ Correct Option: 4

Related questions:

22 May Shift 2

Acute angle between the lines $\frac{x}{3} = \frac{y}{4} = \frac{z}{5}$ and $\frac{x-1}{4} = \frac{y+1}{-3} = \frac{z+10}{5}$ is:

29 May Shift 2

The direction cosines of a line which makes equal angles with co-ordinate axes are:

14 May Shift 2

Consider a line $\vec{r} = (\hat{i} + 4\hat{j}) + \lambda(2\hat{i} - 2\hat{j} + 3\hat{k})$ , then which of the following statements are correct?

(A) it passes through point (9, -4, 12)

(B) it passes through point (1, 4, -1)

(D) its Cartesian equation is $\frac{x - 1}{2} = \frac{y - 4}{-2} = \frac{z}{3}$

Choose the correct answer from the options given below:

CUET Mathematics 2025 30 May Shift 1 PYQs