What is the standard form of the equation for this circle

The correct option is C) (x+1)² + (y-10)² = 4

Step-by-step explanation:

In provided figure, circle has centre (-1, 10) and radius is 2

Since, the general equation of circle is written as:

(x-h)² + (y-k)² = r² where 'h' and 'k' are centre of circle and r is radius.

Now, put the values in general equation of circle

Put h = -1 , k = 10 and r = 2

(x-h)² + (y-k)² = r²

(x-(-1))² + (y-10)² = 2²

(x+1)² + (y-10)² = 4

Hence, the correct option is C) (x+1)² + (y-10)² = 4

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