CUET Mathematics - The direction cosines of a line equally inclined with the co-ordinate axes are | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Geometry

Medium

core

$(1,1,1)$

$\left(\frac{1}{3}, \frac{1}{3}, \frac{1}{3}\right)$

$\left(\pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}}\right)$

$\left(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$

✅ Correct Option: 3

Related questions:

13 May Shift 1

If a line makes angles $\alpha, \beta, \gamma$ with the positive directions of $x$ - axis, y -axis, z -axis respectively, then the value of $cos2\alpha + cos2\beta + cos2\gamma$ is equal to

14 May Shift 2

Match List-I with List-II

List-I	List-II
Lines	Direction Ratios
(A) $\frac{x - 1}{2} = \frac{2 - y}{1} = z$	(I) 1, 3, -1
(B) $\frac{2x - 1}{2} = \frac{y + 1}{3} = \frac{1 - z}{1}$	(II) 2, -2, 0
(C) $\frac{x + 1}{2} = \frac{3 - y}{2}, z = 2$	(III) 2, -1, 1
(D) $\frac{2x - 3}{4} = \frac{1 - 2y}{2} = \frac{z}{5}$	(IV) 2, -1, 5

Choose the correct answer from the options given below:

3 June Shift 2

The direction ratios of the line perpendicular to the lines $\frac{x-5}{-3} = \frac{y+11}{-3} = \frac{z+3}{1}$ and $\frac{x-7}{1} = \frac{y+2}{-2} = \frac{z-4}{-1}$ are proportional to:

CUET Mathematics 2025 13 May Shift 2 PYQs

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