Q. 145.0( 1 Vote )

The equation of t

Answer :

Given: Foci are (6, 4) and (-4, 4) and eccentricity is 2


To find: equation of the hyperbola


Formula used:


Standard form of the equation of hyperbola is,



Center is the mid-point of two foci.


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


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 (6, 4) and (-4, 4) is given by




= (1, 4)


Distance between the foci is 2ae and Foci are (6, 4) and (-4, 4)








{ e = 2}





b2 = a2(e2 – 1)






Equation of hyperbola:




Hence, required equation of hyperbola is

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