Question

Choose the correct conic section to fit the equation.

x^2+y^2=16

Circle
ellipse
parabola
hyperbola

Answer 1

Circle

Explanation:

The given equation is
`x^2+y^2=16`

We know the standard equation of a circle is given by

`(x-h)^2+(y-k)^2=r^2`

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

We can rewrite the given equation in this form

`(x-0)^2+(y-0)^2=4^2`

Hence, the center of the circle is (0,0) and radius is 4.

Thus, the given equation represents a circle.