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JEE Main2018MathematicsThree Dimensional GeometryActual

The sum of the intercepts on the coordinate axes of the plane passing through the point – 2 , – 2 , 2 and containing the line joining the points 1 , – 1 , 2 and 1 , 1 , 1 is

Options

  1. A4
  2. B12
  3. C- 8
  4. D- 4

Correct answer

D. - 4

Step-by-step solution

Equation of plane is x + 2 y + 2 z - 2 - 3 - 1 0 - 3 - 3 1 = 0 ⇒ - x + 2 + 3 y + 2 + 6 z - 2 = 0 ⇒ x - 3 y - 6 z + 8 = 0 ∴ Sum of intercepts = - 8 + 8 3 + 8 6 = - 4

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