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If two opposite vertices of a square are (5, 4) and (1, -6), find the coordinates of its remaining two vertices.

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Let ABCD be a square and let A(5, 4) and C(1, -6)

Let (x,y) be the coordinates of B.

In right triangle ABC

Substituting the value of x form (1) in (2), we get

Substituting y= -3 and y=1 in equation (1), we get

Hence, the required vertices of the square are (-2,1) and (8,-3).

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