Answer:
(x + 1)² + (y - 10)² = 4
Explanation:
Standard form of the equation of a circle is given by,
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and 'r' is the radius.
In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.
By substituting these values in the formula,
(x + 1)² + (y - 10)² = 2²
(x + 1)² + (y - 10)² = 4
Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4