If the lines and are two diameters of a circle of radius , then the equation of the circle is:
Explanation for the correct option
Step 1: Find the center of the circle based on given information
Let center of the circle be
The two lines given are and
Replace from equation in , we get,
Thus,
As the two lines form the diameter of the circle, so and will be the center.
So,
Step 2: Evaluate the equation of the circle
The equation of a circle is given by, , where is the center of the circle.
Therefore, option (C) i.e. is the correct answer.