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 3 i + 2 j - 8…
CUET UG 2025 — Mathematics Geometry
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^)+λ(3i^+2j^−8k^)
(B) Vector form of the equation of line 3x−5=7y+4=2z−6 is r=(5i^−4j^+6k^)+λ(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:
Held on 26 May 2025 · Verified 13 Jul 2026.
Options
- A
(A), (B) and (C) only
- B
(B), (C) and (D) only
- C
(A) and (B)only
- D
(C) and (D) only
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