Information

Equilateral hyperbole


A hyperbola is called equilateral when the real and imaginary half-axis measurements are equal:

a = b

Asymptotes of hyperbole

Asymptotes they are straight lines containing the sides rectangle diagonals 2a and 2b.

When the real axis is horizontal, the angular coefficient of these lines is ; when it is vertical, the coefficient is .

Equation

Let's consider the following cases:

a) horizontal real axis and Ç(0, 0)

Asymptotes go through the origin and have angular coefficient ; so your equations are like this:

b) vertical axis and Ç(0, 0)

Asymptotes go through the origin and have angular coefficient ; so your equations are like this:

Next: Parable