NDA 2025 · PYQ · 3D Geometry / Planes · easy
What is the equation of the plane passing through the point (1, 1, 1) and perpendicular to the line whose direction ratios are ⟨3, 2, 1⟩?
- A.x + 2y + 3z = 6
- B.3x + 2y + z = 6✓ Correct
- C.x + y + z = 3
- D.3x + 2y + z = 0
Plane perpendicular to line with d.r. (3,2,1) has normal (3,2,1). Equation: 3(x-1) + 2(y-1) + 1(z-1) = 0, i.e., 3x + 2y + z = 6.
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