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MHT CET 2024 Mathematics question

MathematicsCircleMHT CET 2024

The abscissae of the two points A and B are the roots of the equation and their ordinates are roots of the equation . Then the equation of the circle with AB as diameter is given by

Answer: (4)

Solution

Let , with the roots of (so , ) and the roots of (so , ). The circle on AB as diameter is , i.e.

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Question ID VK-095663