Conic Sections: quiz

Standard ellipse

Eccentricity relation for ellipse

Tangent to ellipse at a point

Auxiliary circle of an ellipse

Director circle of an ellipse

Sum of focal distances (ellipse)

Standard hyperbola

Eccentricity relation for hyperbola

Asymptotes of standard hyperbola

Tangent to hyperbola at a point

Standard parabola opening right

Focus–directrix property (parabola)

Tangent to parabola y² = 4ax at a point

Normal to parabola y² = 4ax at a point

Tangent of slope m to y² = 4ax

Focal distance on parabola y² = 4ax

Length of latus rectum (parabola)

Focal chord property (parametric parabola)

Parabola: standard form y² = 4ax

Parabola: parametric form

Parabola: focal distance SP

Parabola: latus rectum length

Parabola: tangent at point (x₁, y₁)

Parabola: tangent in parametric form

Parabola: normal in parametric form

Parabola: focal chord condition (parametric)

Parabola: tangency of line y = mx + c

Ellipse: standard equation

Ellipse: eccentricity and foci

Ellipse: directrices

Ellipse: auxiliary circle

Ellipse: director circle

Ellipse: tangent at (x₁, y₁)

Ellipse: tangent in parametric form

Ellipse: normal at (x₁, y₁)

Ellipse: focal property SP + S'P

Ellipse: latus rectum length

Hyperbola: standard equation

Hyperbola: eccentricity and asymptotes

Hyperbola: conjugate hyperbola

Hyperbola: tangent at (x₁, y₁)

Rectangular (equilateral) hyperbola

Hyperbola: director circle