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AP EAMCET202017 Sep 2020Evening ShiftMathematicsThree Dimensional GeometryActual

The distance of the plane (2 x-y-2 z-9=0 ) from the origin is units.

Options

  1. A3
  2. B( 3 )
  3. C1
  4. D9

Correct answer

A. 3

Step-by-step solution

Distance of plane (A x+B y+C z+d=0 ) from ( (x₁ y₁ z₁ ) ) is given by (d= | A x₁+B y₁+C z₁+D A^2+B^2+C^2 | ) By comparision, substituting values (d= | 2 0+(-1)(0)+(-2)(0)-9 2^2+(-1)^2+(-2)^2 |= | -9 9 |=3 units. )

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