Q. 7 F5.0( 1 Vote )

Find the equation

Answer :

Given: Foci are (2, 0) and (-2, 0) and eccentricity is


To find: equation of the hyperbola


Formula used:


The standard form of the equation of the hyperbola is,



Center is the mid-point of two foci.


Distance between the foci is 2ae and b2 = a2(e2 – 1)


The distance between two points (m, n) and (a, b) is given by


Mid-point theorem:


Mid-point of two points (m, n) and (a, b) is given by



Center of hyperbola having Foci (2, 0) and (-2, 0) is given by




= (0, 0)


The distance between the foci is 2ae, and Foci are (2, 0) and (-2, 0)












b2 = a2(e2 – 1)







The equation of hyperbola:







45x2 – 36y2 – 80 = 0


Hence, required equation of hyperbola is 45x2 – 36y2 – 80 = 0


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