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The equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line $ y - 4x + 3 = 0 $, is:

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To find the equation of a circle given two points on it and the condition that the center lies on a straight line, use the general equation and substitute the given points and center condition.

Updated On: Apr 22, 2026

$ x^2 + y^2 + 4x - 10y + 25 = 0 $
$ x^2 + y^2 - 4x - 10y + 16 = 0 $
$ x^2 + y^2 - 4x - 10y + 25 = 0 $
None of these

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The Correct Option is C

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The equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line \( y - 4x + 3 = 0 \), is:

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The Correct Option is C

Solution and Explanation

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