NDA 2026 · PYQ · Three Dimensional Geometry · medium
A line L passing through the point (−1, 2, −3) is perpendicular to the plane P given by 2x + 3y + z + 5 = 0. What is the equation of the line L?
- A.1 − x = y + 2 = 3 − z
- B.−(x + 1) = y − 2 = z + 3
- C.3x + 3 = 2y − 4 = 6z + 18✓ Correct
- D.3x − 3 = 2y + 4 = 6z − 18
The line perpendicular to plane 2x + 3y + z + 5 = 0 has direction ratios (2, 3, 1). Passing through (−1, 2, −3): (x+1)/2 = (y−2)/3 = (z+3)/1. Cross-multiplying: 3(x+1) = 2(y−2) = 6(z+3), i.e., 3x + 3 = 2y − 4 = 6z + 18. This matches option (c).
💡
Practice unlimited NDA PYQs + AI-tracked progress on each topic.
Sign up free →More Three Dimensional Geometry questions
- → P(−2, −3, 5), Q(4, −1, 5), R(6, −4, 8) and S(2, −6, 10) are four points. Consider the following statements: I.…
- → What are the direction ratios of a line M parallel to the plane P?
- → What is (PQ² + 2QS² − 2PR²) equal to?
Want more NDA practice?
Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English