Quadratic surfaces

  $z^2=x^2+5y^2$  
Name of the surface is

• Cone

• Ellipsoids

• Paraboloid

• Hyperboloid of two sheet

  $x=z^2+5y^2$  
Name of the surface is

• Cone

• Ellipsoids

• Paraboloid

• Hyperboloid of two sheet

  $z^2-5y^2=1$  
Name of the surface is

• Parabolic cylinder 

• Hyperbolic  Cylinder 

• Paraboloid

• Elliptic Cylinder 

Tags

CCSS.HSG.GPE.A.3

What is an equation of Hyperboloid of one sheet ?

• $x^2-2y^2+3z^2=1$

• $x^2-2y^2-3z^2=1$

• $x^2+2y^2+3z^2=1$

• $-x^2+2y^2+3z^2=-1$

Tags

CCSS.HSG.GPE.A.3

What is an equation of Hyperboloid of two sheet ?

• $x^2-2y^2+3z^2=1$

•  $x^2-2y^2-3z^2=-1$ 

• $x^2+2y^2+3z^2=1$

• $-x^2+2y^2+3z^2=-1$

Tags

CCSS.HSG.GPE.A.3