If the plane 7x+11y+13z=3003 meets the coordinate axes in A,B,C, then centroid of the triangle ABC is
A
(143,91,77)
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B
(143,77,91)
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C
(91,143,77)
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D
(143,66,91)
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Solution
The correct option is B(143,91,77) Given equation of plane is 7x+11y+13z=3003.
The plane meets the coordinate axes on the points, A(429,0,0),B(0,273,0)C(0,0,231) Hence, the coordinates of the centroid are, (4293,2733,2313)=(143,91,77)