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AP EAMCET2002MathematicsThree Dimensional Geometry

If the plane 7 x+11 y+13 z=3003 meets the co-ordinate axes in A, B, C , then the centroid of the A B C is

Options

  1. A(143,91,77)
  2. B(143,77,91)
  3. C(91,143,77)
  4. D(x+6)^2+(y+6)^2=25

Correct answer

A. (143,91,77)

Step-by-step solution

Given plane is 7 x+11 y+13 z=3003 array ll & 7 x 3003 + 11 y 3003 + 13 z 3003 =1 & x 429 + y 273 + z 231 =1 array This plane meets the coordinate axes. The coordinates are aligned & A(429,0,0), B(0,273,0), C(0,0,231) & aligned The centroid of A B C & = ( 429 3 , 273 3 , 231 3 ) & =(43,91,77) aligned aligned

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