MHT CET 2026 Mathematics question

If A(2, -3) and C(-6, 7) are opposite vertices of a rhombus ABCD, then the equation of diagonal BD is

(A)5x – 4y + 2 = 0
(B)5x + 4y + 2 = 0
(C)4x – 5y + 18 = 0Correct
(D)4x + 5y + 18 = 0

Answer: (C)

Solution

The diagonals of a rhombus bisect each other at right angles, so BD is the perpendicular bisector of AC. Midpoint of AC . Slope of AC , so slope of BD . Equation: \dfrac$45(x+2)⇒

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Question ID VK-100156