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AP EAMCET2001MathematicsThree Dimensional Geometry

If the foot of the perpendicular from (0,0,0) to the plane is (1,2,2) , then the equation of the plane is

Options

  1. A-x+2 y+8 z-9=0
  2. Bx+2 y+2 z-9=0
  3. Cx+y+z-5=0
  4. Dx+2 y-3 z+1=0

Correct answer

B. x+2 y+2 z-9=0

Step-by-step solution

Now, we take the equation of plane x+2 y+2 z-9=0 . Since, it is passing through the point (1,2,2) . aligned & & 1+2(2)+2(2)-9 & =0 & & 0 & =0 aligned Thus, the required equation of the plane is x+2 y+2 z-9=0

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