which of the following equations is of an ellipse with x intercepts of (3,0) and (-3,0) and y intercepts at (0,1 and (0,-1)?
A)x^2/1+y^2/9=1
B)x^2/1-y^2/9=1
C)x^2/9+y^2/1=1

A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic sections are the hyperbola, the parabola, and the ellipse. The circle is type of ellipse, and is sometimes considered to be a fourth type of conic section.

According to the question

[tex]\frac{x^{2} }{9}[/tex] - [tex]\frac{y^{2} }{1}[/tex] = 1 it is represent the hyperbola

We have

the x-intercepts = 3

the y-intercepts = 1

the four vertices of an ellipse is

(3,0) (-3,0) (0,1) (0,-1)

At point (3,0) (0,1)

so select ,[tex]\frac{x^{2} }{9}[/tex] + [tex]\frac{y^{2} }{1}[/tex] = 1

At point (-3,0) (0,-1)

[tex]\frac{x^{2} }{9}[/tex] - [tex]\frac{y^{2} }{1}[/tex] = 1

Hence , it's represents the hyperbola.

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which of the following equations is of an ellipse with x intercepts of (3,0) and (-3,0) and y intercepts at (0,1 and (0,-1)? A)x^2/1+y^2/9=1B)x^2/1-y^2/9=1C)x^2/9+y^2/1=1

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which of the following equations is of an ellipse with x intercepts of (3,0) and (-3,0) and y intercepts at (0,1 and (0,-1)?
A)x^2/1+y^2/9=1
B)x^2/1-y^2/9=1
C)x^2/9+y^2/1=1