JEE Mathematics · Hard

Three Dimensional Geometry: Mixed MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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MixedHardQuestion 350014

Question

The equation of the plane passing through the three coordinate intercepts a, b, c is:
  1. A
    x/a + y/b + z/c = 1
    Correct
  2. B
    ax + by + cz = 1
  3. C
    x + y + z = a+b+c
  4. D
    xyz = abc

Correct answer

x/a + y/b + z/c = 1

Explanation

Intercept form of the plane: x/a + y/b + z/c = 1. It passes through (a,0,0), (0,b,0), and (0,0,c).