CUET Mathematics - The value of x so that the lines 1-x/3 = 7y-14/24 = z-3/2 and 7-7x/3x = y-5/1 = 6-z/5 are at right angle, is: | PYQs + Solutions

CUET Mathematics 2025 2 June Shift 1

Geometry

Hard

core

$\frac{70}{11}$

$\frac{10}{11}$

$\frac{11}{70}$

$\frac{11}{10}$

✅ Correct Option: 1

Related questions:

15 May Shift 1

If $\alpha, \beta$ and $\gamma$ are angle of inclinations of a line with x, y and z axes respectively, then the value of $2(\cos 2\alpha + \cos 2\beta + \cos 2\gamma)$ is

19 May Shift 1

The shortest distance between lines $\frac{-x-3}{4} = \frac{y-6}{3} = \frac{z}{2}$ and $\frac{-x-2}{4} = \frac{y}{1} = \frac{z-7}{1}$ is:

30 May Shift 1

Consider the line $\vec{r} = -2\hat{i} + 3\hat{j} + \hat{k} + \lambda(5\hat{i} - 3\hat{j} - \hat{k})$ . Match List-I with List-II

List-I	List-II
(A) A point on the given line	(I) $\left(\frac{5}{\sqrt{35}}, \frac{-3}{\sqrt{35}}, \frac{-1}{\sqrt{35}}\right)$
(B) Direction ratios of the given line	(II) (2, 3, 1)
(C) Direction cosines of the given line	(III) (5, -3, -1)
(D) Direction ratios of a line perpendicular to given line	(IV) (-2, 3, 1)

Choose the correct answer from the options given below:

CUET Mathematics 2025 2 June Shift 1 PYQs

Keyboard Shortcuts