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Question

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+463=3, b5+53=1
a=11, b=3

Hence, the third vertex of the triangle is (11,3)

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