Question

HELP PLEASE ASAP ASAP MATH

Answer 1

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

                                = $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

                                = $\sqrt{(1-4)^2+(-2+2)^2}$

                                = 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.