Question

What does the equation x^2+y^2=14 represent

Answer 1

A. Parabola
B. Circle
C. Hyperbola
D. Ellipse

Answer 2

\[x^2+y^2=r^2\] This equation represents a circle centered at the origin with radius r. So, your example is a circle centered at the origin with a radius of sqrt{14}

Answer 3

what does the equation \[\frac{ x^2 }{ 81}+\frac{ y^2 }{ 1 }=1\] represent? @vinnv226

Answer 4

This is similar to a circle, but the 81 under the x^2 creates an ellipse.

Answer 5

would \[\frac{ y^2 }{ 16 }-\frac{ x^2 }{ 9 }=1\] be an hyperbola?

Answer 6

@vinnv226

Answer 7

Yes, the subtraction sign makes it a hyperbola. If it was a plus sign it would be an ellipse.