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Answer:

Any point on the circle (x + 1)² + (y - 5)² = 2 with center (-1 , 5) and radius √2

Step-by-step explanation:

circle: (x + 1)² + (y - 5)² = 2

Any point on the circle of equation(x + 1)² + (y - 5)² = 2 with center (-1 , 5) and radius √2.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h,k) coordinate.

The radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)^2 + (y-k)^2 = r^2

We have to Name a point that is the square root of 2 away from(-1,5).

So,  the equation of that circle would be:

(x + 1)² + (y - 5)² = 2

Hence, Any point on the circle of equation(x + 1)² + (y - 5)² = 2 with center (-1 , 5) and radius √2.

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