A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case. c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and centre at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h). Here, we will be studying the hyperbola equation, focii, eccentricity, directrix, latus rectum and characteristics of such curves.