MHT CET 2023 Mathematics question
The points (1, 3), (5, 1) are opposite vertices of a diagonal of a rectangle. If the other two vertices lie on the line y = 2x + c, then one of the vertex on the other diagonal is
Answer: (C)
Solution
The diagonals of a rectangle bisect each other and are equal. The centre is the midpoint of , namely . The other diagonal lies on and passes through the centre: , so the line is . The given diagonal has length , so each vertex of the
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