The lines and are diameters of a circle of area . Then the equation of this circle is
Find the equation of the circle based on the given information
Given, equations of diameters are,
The intersection of two diameters is the centre of the circle
So, the coordinates of the centre will be
Putting the above value in
Coordinates of the centre is
Now, the radius of the circle is,
The equation of the circle
Hence, the correct option is , .