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MHT CET202415 May 2024Morning ShiftMathematicsThree Dimensional GeometryActual

The perpendicular distance from the origin to the plane containing the two lines x+2 3 = y-2 5 = z+5 7 and x-1 1 = y-4 4 = z+4 7 , is

Options

  1. A11 6 units
  2. B11 6 units
  3. C11 units
  4. D6 11 units

Correct answer

A. 11 6 units

Step-by-step solution

Equation of the plane is aligned & | array ccc x-1 & y-4 & z+4 3 & 5 & 7 1 & 4 & 7 array | & (x-1)(7)-(y-4)(14)+(z+4)(7)=0 & 7 x-14 y+7 z+77=0 & x-2 y+z+11=0 aligned Perpendicular distance from origin to the plane is | 0-2(0)+0+11 1+4+1 |= 11 6 units

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