What is the standard form of the equation for this circle?

A. - (x - 1) 2 - (y + 10) 2 + 4 = 0

B. (x - 1) 2 - (y + 10) 2 = 2

C. (x + 1) 2 + (y - 10) 2 = 4

D. (x - 1) 2 - (y + 10) 2 = 4

A (-1, 10)

Radius 2

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h) ² + (y - k) ² = r²

where (h. k) are the coordinates of the centre and r is the radius

here (h, k) = ( - 1, 10) and r = 2, thus

(x - ( - 1)) ² + (y - 10) ² = 2², that is

(x + 1) ² + (y - 10) ² = 4 → C