MHT CET 2026 Mathematics question
The equation of a circle which passes through the points (2,3) and (4,5) and whose center lies on the straight line is
Answer: (A)
Solution
The centre lies on the perpendicular bisector of the chord joining and . Midpoint , slope of chord , so the bisector has slope : , i.e. . The centre also satisfies . Then , so , . Centre ;
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