Question

5. What are the coordinates of the center of a circle whose equation is (x + 10)2 + (y - 3)2 = 17

A:(-10, -8)
B:(-10,8)
C:(10, -8)

Answer 1

the center of the circle is (-10,8)

Third option is correct.

Explanation:The equation of the circle is

This equation can be rewritten as

The standard form of the circle is given by

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

On comparing the given equation of circle with the standard form

h = -10, k = 8

Hence, the center of the circle is (-10,8)

Third option is correct.