This is so important please help

Given:

The center of the circle = (-1,0)

Point on the circle = (2,-4).

To find:

The equation of the circle.

Solution:

Distance between two points is

Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.

On further simplification, we get

Now, the equation of the circle is

Where, (h,k) is the center and r is the radius of the circle.

The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is

Therefore, the first option is correct, i.e., .