The ends of a diagonal of a square are (2,-3) and (-1,1). Another vertex of the square can be

JEE Advanced Mathematics question

The ends of a diagonal of a square are and . Another vertex of the square can be

Answer: (A),(B)

Let , . ; centre . The other diagonal BD is perpendicular to AC, bisected at P, and has the same length 5. Half-diagonal vector ; rotating it by

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Question ID VK-108830