Write an equation in standard form for the circle shown.
a) (x + 3)2 + (y – 1)2 = 7
b) (x - 3)2 + (y + 1)2 = 7
c) (x + 3)2 + (y – 1)2 = 49
d) (x - 3)2 + (y + 1)2 = 49

  C)  

Step-by-step explanation:

From the given figure it can be seen that the centre of the circle is at (-3,1)

and the distance from the center to the boundary = 7 units.

i.e. radius of the given circle = 7 units

We know that , the standard equation of circle is given by :-

, where (h,k) represents the center of the circle and r represents the radius of the circle.

Therefore, the equation of the given circle will be:-

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