Correct Answer - Option 1 : x
2 - 2x + y
2 + 2y - 3 = 0
Concept:
The equation of a circle with center at O(a, b) and radius r, is given by: (x - a)2 + (y - b)2 = r2.
Calculation:
The co-ordinates of the center of the circle are \(\rm O\left(\frac{2+0}{2},\frac{-3+1}{2}\right)\) = O(1, -1).
Radius of the circle = Distance between (0, 1) and (1, -1) = \(\rm \sqrt{(0-1)^2+(1+1)^2}\) = √5.
Equation of the circle = (x - 1)2 + (y +1)2 = (√5)2.
⇒ x2 - 2x + y2 + 2y - 3 = 0.
