Question

Which of the following circle equations represents a circle whose center is at (0, 0)?

A.
x2 + y2 = 45
B.
(x − 3)2 + (y − 5)2 = 0
C.
(x + 3)2 + (y − 3)2 = 0
D.
x2 + (y − 1)2 = 1

Answer 1

A. x²+y²=45

Explanation:

The equation of a circle centered at the origin is of the form:

`{x}^(2) + {y}^(2) = {r}^(2)`

where r is the radius of the circle.

Among the given options, the only equation that looks like this is

`{x}^(2) + {y}^(2) = 45`

The rest are equations of a circle with center not at the origin.

The correct choice is A.