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Offline Centres

Each side of a square is of length 4. The centre of the square is (3,7) and one of its diagonals is parallel to y = x. Then coordinates of its vertex are

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(1,5), (1,9), (5,9), (5,5)

(2,5), (2,7), (4,7), (4,4)

(2,5), (2,6), (3,5), (3,6)

(5,2), (6,2), (5,3), (6,3)

answer is A.

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Detailed Solution

Use $(x_{1} \pm r \cos θ, y_{1} \pm r \sin θ)$

$r = 2 \sqrt{2}$ and $θ = 45^{0}, 135^{0}$

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