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JEE Main202324 Jan 2023Morning ShiftMathematicsThree Dimensional GeometryActual

The distance of the point 7 , - 3 , - 4 from the plane containing the points 2 , - 3 , 1 , - 1 , 1 , - 2 and 3 , - 4 , 2 is equal to:

Options

  1. A4
  2. B5
  3. C5 2
  4. D4 2

Correct answer

C. 5 2

Step-by-step solution

Equation of plane passing through the points 2 , - 3 , 1 ,   - 1 , 1 , - 2 and 3 , - 4 , 2 is x - 2 y + 3 z - 1 - 3 4 - 3 1 - 1 1 = 0 ⇒ x - 2 - z + 1 = 0 ⇒ x - z - 1 = 0 Required distance is = 7 + 4 - 1 2 = 10 2 = 5 2 units

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