MHT CET 2026 Mathematics question

If the equation 3x^2+(3-p)xy+qy^2-2px=8pq represents a circle, then the area (in sq. units) of this circle is

Answer: (C)

Solution

For a circle the coefficient of must vanish, so ; and the coefficients of and must be equal, so . The equation becomes , i.e. . Hence

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Question ID VK-096107