CUET Mathematics - Which of the following statements are true? (A) The vector equation of the line through the point (5, 2, -4) and parallel to the vector 3i + 2j - 8k is r = (5i + 2j - 4k) + (3i + 2j - 8k) (B) Vector form of the equation of line x-5/3 = y+4/7 = z-6/2 is r = (5i - 4j + 6k) + (3i + 7j + 2k) (C) The direction cosines of z-axis are (1, 1,0). (D) If a line has direction ratios 2, -1, -2, then its direction cosines are -2/3, -1/3, -2/3. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 26 May Shift 2

Geometry

Medium

core

(A), (B) and (C) only

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

(A) and (B)only

✅ Correct Option: 3

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:

27 May Shift 1

Match List-I with List-II

Choose the correct answer from the options given below:

16 May Shift 1

Consider the line $\frac{x-2}{2} = \frac{2y-5}{-3}, z = -1$ . Then which of the following is/are true?

(A) It has Direction ratios (2, -3, -1)

(B) It has Direction cosines $\left(\frac{4}{5}, \frac{-3}{5}, \frac{-1}{5}\right)$

(D) It has Direction cosines $\left(\frac{4}{5}, \frac{-3}{5}, 0\right)$

Choose the correct answer from the options given below:

CUET Mathematics 2025 26 May Shift 2 PYQs