CUET Mathematics - Consider two lines l_1 and l_2 with cartesian equations x/2 = 1-y/-2 = z/1 and 2x-5/16 = y-2/-1 = z-5/4 respectively. Which of the following is/are true? (A) Direction ratio of l_1 are 2, 2, 1 (B) Direction cosines of l_1 are 2/3, -2/3, 1/3 (C) Direction ratio of l_2 are 16, -1, 4 (D) Angle between l_1 and l_2 is ^-1(383sqrt(273)) Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Geometry

Hard

core

(B), (C) and (D) only

(A) and (B) only

(A) only

✅ Correct Option: 4

Related questions:

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:

16 May Shift 1

The angle between the pair of lines given by $\vec{r} = \hat{i} + 2\hat{j} - 3\hat{k} + λ(\hat{i} - 2\hat{j} + 2\hat{k})$ and $\vec{r} = 5\hat{i} + \hat{j} + \hat{k} + μ(3\hat{i} - \hat{j} + 6\hat{k})$

2 June Shift 1

The foot of the perpendicular drawn from the point $(1,6,3)$ to the line $\frac{x}{1} = \frac{y-1}{2} = \frac{z-2}{3}$ is

CUET Mathematics 2025 13 May Shift 1 PYQs

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