Equation of a hyperbola using eccentricity and latus rectum
6:01
Khan AcademyAshish Gupta
Equation of a hyperbola using eccentricity and latus rectum
This video demonstrates how to find the equation of a hyperbola using diverse conditions such as its foci and the length of its latus rectum, or its vertices and eccentricity. We also tackle a problem where the foci are given and the hyperbola passes through a specific point, requiring solving for 'a squared' and 'b squared' by setting up and ...
1 month ago
Hyperbola Equation Derivation
Equation of a hyperbola using its definition
4:38
Equation of a hyperbola using its definition
Khan AcademyAshish Gupta
1 month ago
SOLVED:Equation of a Hyperbola In the derivation of the equation of the hyperbola at the beginning of this section we said that the equation √((x c)^2 y^2)-√((x-c)^2 y^2)=±2 a simplifies to (c^2-a^2) x^2-a^2 y^2=a^2(c^2-a^2) Supply the steps needed to show this.
SOLVED:Equation of a Hyperbola In the derivation of the equation of the hyperbola at the beginning of this section we said that the equation √((x c)^2 y^2)-√((x-c)^2 y^2)=±2 a simplifies to (c^2-a^2) x^2-a^2 y^2=a^2(c^2-a^2) Supply the steps needed to show this.
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