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AP EAMCET20226 Jul 2022Evening ShiftMathematicsThree Dimensional GeometryActual

If (3,4,-7) is the foot of the perpendicular drawn from the point (-2,3,6) to the plane , then the sum of the intercepts made by the plane on the X and Y -axes is

Options

  1. A132
  2. B142
  3. C210
  4. D175

Correct answer

A. 132

Step-by-step solution

DR's of plane is 3+2,4-3,-7-6=5,1,-13 Equation of plane is 5 x+y-13 z=d Plane passes through the point (3,4,-7) aligned & 15+4+91=d & d=110 & aligned Equation of plane is 5 x+y-13 z=110 5 x 110 + y 110 - 13 z 110 =1 x 22 + y 110 + z -110 13 =1 Sum of x -intercept and y -intercept =22+110=132

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