Answer:
Option (1)
Step-by-step explanation:
Standard equation of the circle is,
(x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle and 'r' is the radius.
From the figure attached,
Radius of the circle = Distance between the points A and B
= [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
= [tex]\sqrt{(1-4)^2+(-2+2)^2}[/tex]
= 3
Center of the circle → A(1, -2)
Therefore, equation of the circle will be,
(x - 1)²+ (y + 2)² = 3²
(x - 1)² + (y + 2)² = 9
Option (1) will be the answer.
