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MHT CET20225 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

The co-ordinates of the foot of the perpendicular drawn from the origin to the plane 2 x+6 y-3 z=63 are

Options

  1. A(4,2,-4)
  2. B( 18 7 , 54 7 , -27 7 )
  3. C( 2 7 , 6 7 , -3 7 )
  4. D( 9 7 , 6 7 , -3 7 )

Correct answer

B. ( 18 7 , 54 7 , -27 7 )

Step-by-step solution

The co-ordinates of foot of perpendicular can be obtained by aligned & x-x₁ a = y-y₁ b = z-z₁ c = - (a₁+b y₁+c₁-d ) a^2+b^2+c^2 & x-0 2 = y-0 6 = z-0 -3 = -(2 0+6 0-3 0-63) 2^2+6^2+(-3)^2 & x 2 = y 6 = z -3 = 63 49 & x= 18 7 , y= 54 7 , z= -27 7 & ( 18 7 , 54 7 , -27 7 ) aligned

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