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JEE Mathematics · Medium

Three Dimensional Geometry: Equation of plane MCQ

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Equation of planeMediumQuestion 350006

Question

The equation of a plane with normal vector (a, b, c) passing through (x₁,y₁,z₁) is:
  1. A
    a(x−x₁)+b(y−y₁)+c(z−z₁)=0
    Correct
  2. B
    ax+by+cz=0
  3. C
    x/a+y/b+z/c=1
  4. D
    a²+b²+c²=1

Correct answer

a(x−x₁)+b(y−y₁)+c(z−z₁)=0

Explanation

A plane with normal n⃗ = (a,b,c) passing through point (x₁,y₁,z₁): a(x−x₁)+b(y−y₁)+c(z−z₁) = 0.

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