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Answer:
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by:
Given
Center = (h,k) = (-3,1)
=> h = -3
=> k = 1
The distance between the center of circle and the point through which the circle passes will be the radius.
The distance formula is given by:
Given
Putting the values in the formula
Putting the values of h,k and r in general form of equation
Hence,
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.