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AP EAMCET20227 Jul 2022Evening ShiftMathematicsThree Dimensional GeometryActual

A plane meets the X, Y, Z -axes in A, B, C respectively. If the centroid of the A B C is (2,-3,5) , then the perpendicular distance from origin to the given plane is

Options

  1. A7 40
  2. B6 7
  3. C8 50
  4. D90 19

Correct answer

D. 90 19

Step-by-step solution

aligned & A=(a, 0,0), B (0, b, 0), C (0,0, c) & Centroid of A B C ( a 3 , b 3 , c 3 ) (2,-3,5) & a=6, b=-9, c=15 aligned Plane is x 6 - y 9 + z 15 =1 Perpendicular distance from origin is aligned | 1 1 36 + 1 81 + 1 225 | & = | 1 81 225+36 225+36 81 225 81 36 | & = 15 9 6 9 225+100+36 & = | 90 361 |= | 90 19 | aligned

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