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MHT CET20239 May 2023Morning ShiftMathematicsThree Dimensional GeometryActual

The foot of the perpendicular drawn from the origin to the plane is (4,-2,5) , then the Cartesian equation of the plane is

Options

  1. A4x-2y+5z=45
  2. B-4x+2y+5z=45
  3. C4x-2y+5z+45=0
  4. D4x+2y-5z+45=0

Correct answer

A. 4x-2y+5z=45

Step-by-step solution

Substitute x=4, y=-2, z =5 in all options. For option A aligned 4 x-2 y+5 z & =4(4)-2(-2)+5(5) & =16+4+25 & =45 aligned Only option A is satisfied by (4,-2,5)

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