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NTA Abhyas JEE Main2020MathematicsThree Dimensional GeometryPractice

Let A be the foot of the perpendicular from the origin to the plane x - 2 y + 2 z + 6 = 0 and B 0 , - 1 , - 4 be a point on the plane. Then, the length of A B is

Options

  1. A13 units
  2. B15 units
  3. C4 units
  4. D17 units

Correct answer

A. 13 units

Step-by-step solution

From the diagram O B = 0 + 1 + 16 = 17 O A = 0 - 0 + 0 + 6 1 + 4 + 4 = 2 ∵ ∆ O A B is right angled triangle A B = O B 2 - O A 2 = 13 units

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