imo class 12 three dimensional geometry

The plane passing through (1,2,3) and having normal vector (2,−1,4) is:

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The plane passing through (1,2,3) and having normal vector (2,−1,4) is:

  • A. 2(x−1)−(y−2)+4(z−3)=0
  • B. 2x−y+4z=0
  • C. x−2y+4z=0
  • D. 2(x+1)−(y+2)+4(z+3)=0

Answer: A) 2(x−1)−(y−2)+4(z−3)=0

Explanation: Equation of plane: a(x−x₁)+b(y−y₁)+c(z−z₁)=0.

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