MHT CET 2025 Mathematics question

MathematicsStraight LinesMHT CET 2025

The points (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices are lie on the line y = 2x + c where c is the constant, then co-ordinates of other two vertices are

Answer: (A)

Solution

The diagonals of a rectangle bisect each other, so the centre is the midpoint of (1,3) and (5,1): . The other diagonal also passes through M and lies on : , so the line is . The half-diagonal length is

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Question ID VK-101821