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Hyperbola in Standard Form

Mathematics · Class 12

x^frac2a²-y^frac2b²=1 has c²=a²+b² and foci (+-c,0).

Hyperbola in standard form
rule
worked example
Hyperbola in standard form: x^2a²-y^2b²=1 has c²=a²+b² and foci (+-c,0).
CONCEPT AND RULE: x^2a²-y^2b²=1 has c²=a²+b² and foci (+-c,0).
METHOD: For hyperbola in standard form, identify the given information and required result. Select the match
x^frac2a²-y^frac2b²=1 has c²=a²+b² and foci (+-c,0).
Worked pattern: For x^frac29-y^frac216=1, c=5.

Right triangle — Hyperbola in Standard Form — original sketch for this lesson (not copied from a textbook).