Acircle is centered at the point (5, -4) and passes through the point (-3, 2).
the equation of this circle is (x + ? )2 + (y + ? )2 = ?

Step-by-step explanation:

The standard form of a circle is

            .... (1)

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

It is given that a circle is centered at the point (5, -4) and passes through the point (-3, 2).

Distance between (5, -4) and (-3, 2) is radius of the circle.

On further simplification we get

The radius of the circle is 10 units.

Substitute h=5,k=-4 and r=10 in equation (1).

Therefore, the equation of the circle is .

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