Analytical definition of hyperbola

Analytical definition of parabola

Analytical Method

Find equaiton of hyperbola satisfying given conditons Focus (0,3), eccentricity 2 and equation of the directrix is x + y - 1 = 0. (Hint : Use definition of the hyperbola).

Find equaiton of hyperbola satisfying given conditons Focus (1,2) eccentricity e = sqrt(3) and equation of the directrix is 2x + y - 1 = 0. (Hint : Use definition of the hyperbola).

Basic Definition OF Hyperbola|| Conjugate Hyperbola|| Illustration

To find the equation of the hyperbola from the definition that hyperbola is the locus of a point which moves such that the difference of its distances from two fixed points is constant with the fixed point as foci

To find the equation of the hyperbola from the definition that hyperbola is the locus of a point which moves such that the difference of its distances from two fixed points is constant with the fixed point as foci

Analytic Treatment

HYPERBOLA : Basic definition and Terminologies || Latus Rectum || Conjugate hyperbola , Illustration