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Q.

ABCD is a square. Points E(4, 3) and F(2,5) lie on AB and CD, respectively, such that EF divides the square in two equal parts. If the coordinates of A are (7, 3), then other coordinates of the vertices can be

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a

7,2

b

7,5

c

(−1,3)

d

(−1,5)

answer is D.

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Detailed Solution

Since EF divides the square in two equal parts, it must pass through the centre of the square and centre is midpoint of EF. So, centre of the square is (3,4). Hence, coordinates of C are (-1, 5).
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