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AP EAMCET2004MathematicsThree Dimensional Geometry

If the plane 3 x-2 y-z-18=0 meets the coordinate axes in A, B, C then the centroid of A B C is

Options

  1. A(2,3,-6)
  2. B(2,-3,6)
  3. C(-2,-3,6)
  4. D(2,-3,-6)

Correct answer

D. (2,-3,-6)

Step-by-step solution

Given equation 3 x-2 y-z=18 can be rewritten as aligned x 18 / 3 - y 18 / 2 - z 18 & =1 x 6 - y 9 - z 18 & =1 aligned Points of a coordinates axes are A(6,0,0), B(0,-9,0) and C(0,0,-18) . Centroid of a triangle aligned & = ( 6+0+0 3 , 0-9+0 3 , 0+0-18 3 ) & =(2,-3,-6) aligned

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