Find the vertices, foci, directrices, and eccentricity of the curve wich polar conic section Consider...

Cheyanne Leigh

Cheyanne Leigh

Answered

2021-01-07

Find the vertices, foci, directrices, and eccentricity of the curve wich polar conic section Consider the equation r2=sec 2 θ

Answer & Explanation

Bertha Stark

Bertha Stark

Expert

2021-01-08Added 96 answers

On comparing the equation with the equation 32a2  y2b2=1 We have a=b=1 also c2=a2 + b2=1 + 1=2
c=2 The equation of hyperbola is given by x2a2  y2b2=1 Vertex is (± a 0)  (± 1, 0) Foci is (± c, 0) (± 2, 0) Directrix is x= ± a2c = ± 12 Eccentricity e=ca=2

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