Question

The equation of a circle is given below.

Answer 1

Answer:

Center is $(-12,9)$

Step-by-step explanation:

Given: Equation of a circle is $(x+12)^2+(y-9)^2=35$

To find: center of the circle

Solution:

A circle is a locus of all points which are at equidistant from the fixed point (center).

Equation of a circle is of form $(x-a)^2+(y-b)^2=r^2$ where $(a,b)$ represents center of the circle and r denotes radius of the circle.

Given equation is $(x+12)^2+(y-9)^2=35$

$\left [ x-(-12) \right ]^2+(y-9)^2=35$

Compare this equation with $(x-a)^2+(y-b)^2=r^2$

Center is $(a,b)=(-12,9)$