Let the coordinates of the two vertices of a triangle are (4,−5),(−6,5) respectively. If the coordinates of the centroid are (3,−1), then coordinates of the third vertex are
A
(11,−3)
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B
(10,−3)
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C
(11,3)
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D
(−11,−3)
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Solution
The correct option is A(11,−3) Let the coordinates of the third vertex be (a,b)
We know that, a+4−63=3,b−5+53=−1 ⇒a=11,b=−3
Hence, the third vertex of the triangle is (11,−3)