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MHT CET20226 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The co-ordinates of the foot of the perpendicular drawn form the origin to the plane 3 x+2 y+6 z=56 is

Options

  1. A( 48 7 , 24 7 , 16 7 )
  2. B( 24 7 , 48 7 , 16 7 )
  3. C( 16 7 , 24 7 , 48 7 )
  4. D( 24 7 , 16 7 , 48 7 )

Correct answer

D. ( 24 7 , 16 7 , 48 7 )

Step-by-step solution

aligned & x-0 3 = y-0 2 = z-0 6 = -(3 0+2 0+1 0-56) 3^2+2^2+6^2 & x 3 = y 2 = z 6 = 56 49 x= 24 7 , y= 16 7 , z = 48 7 & ( 24 7 , 16 7 , 48 7 ) aligned

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