The diameters of a circle are along and . Then, the equation of this circle, which also passes through , is
Explanation for correct option:
Finding the equation of the circle.
Given, the diameters of the circle are and , solving them gives us centre
The circle passes through the point .
By solving the two diameters we will get the coordinates of the center of the circle.
Equating the two diameters we get,
and ,Center .
Radius of the circle is the distance between the center and any other point on the circle. Therefore, the radius of the circle will be equal to the distance between and .
Equation of circle will be,
Hence, the correct answer is Option (C).