PDA

View Full Version : Conic Sections



Oliver
10-26-2013, 05:35 AM
Which one of the following curves is represented by the equation (x-1)^2=9-y^2?

(A) Line

(B) Parabola

(C) Circle

(D) Hyperbola

Thanks!

nicole
10-26-2013, 05:35 AM
The general formula of a circle is

(x-x_{0})^2+(y-y_{0})^2=r^2, with center (x_{0},y_{0}) and radius r.

The given formula can be rewritten as

(x-1)^2=9-y^2 \Rightarrow (x-1)^2+y^2 =3^2 , which represents a circle with center (1,0) and radius 3.

Therefore the correct answer is (B).

Hope these help!!:)

Oliver
10-26-2013, 05:36 AM
Thanks for your quick response!:)