MHT CET 2024 Mathematics question

MathematicsCircleMHT CET 2024

If the sides of a rectangle are given by the equations , then the equation of the circle, drawn on the diagonal of this rectangle as its diameter, is

Answer: (C)

Solution

The vertices of the rectangle are . Take the diagonal joining and . The circle with ends of a diameter is , so $(x+2)(x-6)+(y+2)(y-5)=0⇒

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Question ID VK-095515