Does $\left(x-7\right)^2+\left(y-5\right)^2=-4$(x−7)2+(y−5)2=−4 represent the equation of a circle?

No

Yes

Is the following statement true or false?

The graph of $\left(x-4\right)+\left(y+3\right)=4$(x−4)+(y+3)=4 is a circle with radius $2$2 and centre at $\left(4,-3\right)$(4,−3).

The graph of $\left(x-2\right)^2+\left(y-4\right)^2=-36$(x−2)2+(y−4)2=−36 is a circle with radius $6$6 and centre at $\left(2,4\right)$(2,4).

State the equation of the circle.

Apply the geometry of conic sections

Apply the geometry of conic sections in solving problems