Find the polar equation of a conic section given its eccentricity and a vertical directrix.

Vault Of Euclid

Polar Equation of a Conic from Directrix and Eccentricity

Parametric equations and vector functions warmup

Find the polar equation of the conic section with the given properties: Directrix: \(x = 4\); \(e = \frac{1}{5}\)

The solution and a full step-by-step explanation are here. Sign in to read them.

What you need first

Standard polar forms of conic sections
Simplifying complex fractions

What this problem tests

Tests the student's ability to select the correct standard polar form for a conic based on the orientation of its directrix and to substitute and simplify parameters correctly.

This type of problem is typically found in Calculus II or Precalculus courses when studying polar coordinates and analytic geometry.

Polar Equation of a Conic from Directrix and Eccentricity

What you need first

What this problem tests

More on Parametric equations and vector functions