Mathematics · essential

Elements of hyperbola on x-axis for JEE

Sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms

Formula

\(\text{Centre}=(0,0),\ \text{Vertices}=(\pm a,0),\ \text{Foci}=(\pm c,0),\ \text{Directrices}: x=\pm\dfrac{a}{e},\ \text{Length of latus rectum}=\dfrac{2b^2}{a}\)

Variables: For \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\), \(c^2=a^2+b^2\).

Hyperbola geometry, focus-directrix property.

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