The coordinates of the centroid of triangle ABC where A, B, C are the points of intersection of the plane 6x + 3y -2z = 18 with the coordinate axes are
A
(1, 2, -3)
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B
(-1, 2, 3)
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C
(-1, -2, -3)
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D
(1, -2, 3)
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Solution
The correct option is A (1, 2, -3) 6x+3y–2z=18 ⇒x3+y6+z−9=1 Coordinates of A, B, C are respectively (3, 0, 0), (0, 6, 0) and (0,0, -9) ∴ Centroid of ΔABC is (33,63,−93) ie, (1, 2, -3).