Question

Which of the following equations describe a circle on the coordinate plane with a radius of 9 units

a.(x-9) ²+(y-9) ²=32 c.(x+3) ²-(y+3) ² b.(x-3) ²+(y-3) ²=92 d.(x-9) ²+y-9) ²​

Answer 1

None equation describe equation of circle with radius 9 units.

Explanation:

The standard equation of circle is,

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

Where $(h,k)$ is center of circle and r represent radius of circle.

here , radius is 9 units

So,  Equation of circle,  $(x-h)^{2} +(y-k)^{2} =9^{2}\\\\(x-h)^{2} +(y-k)^{2} =81$

Here, center $(h,k)$ is not given.

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