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NDA2023MathematicsThree Dimensional GeometryActual

Which one of the planes is parallel to the line x-2 3 = y-3 4 = z-4 5 ?

Options

  1. A2 x+2 y+z-1=0
  2. B2 x-y-2 z+5=0
  3. C2 x+2 y-2 z+1=0
  4. Dx-2 y+z-1=0

Correct answer

D. x-2 y+z-1=0

Step-by-step solution

If a line parallel to a plane then a₁ a₂+b₁ b₂+c₁ c₂=0 so option (A), 3.2+2.4+1.5 0 (B) 2.3-1.4-2.5 0 (C) 2.3+2.4-2.5 0 (D) 1.3-2.4+1.5=0

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