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GAOKAO · Conic Sections · Advanced

Conic Sections: Find the eccentricity of the hyperbola math.

Ellipse, hyperbola, parabola standard forms.

Try the problem

Find the eccentricity of the hyperbola x2−y2=a2x^2-y^2=a^2.

Hint and answer

Concept to use

Intersection of conics.

Hint

Use e=1+b2/a2e=\sqrt{1+b^2/a^2} with equal semiaxes.

Answer

\sqrt{2}

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