MHT CET 2026 Mathematics question
The equation of the circle which passes through the points (2, 3) and (4, 5) and whose centre lies on a straight line 4x- y - 3 = 0, is
Answer: (D)
Solution
The centre lies on the perpendicular bisector of the chord joining and . The midpoint is and the chord has slope , so the bisector has slope : , i.e. . The centre also lies on . Adding the two equations: , , . Centre ,
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