19. Conic Sections

Given the hyperbola $\(\frac{x^2}{25}\)-\(\frac{y^2}{9}\)=1$, find the length of the $a$-axis and the $b$ -axis.

Given the hyperbola $x^2-\(\frac{y^2}{4}\)=1$, find the length of the $a$ -axis and $b$ -axis.

Given the hyperbola $\(\frac{y^2}{100}\)-\(\frac{x^2}{139}\)=1$, find the length of the $a$ -axis and the $b$ -axis.

Determine the vertices and foci of the hyperbola $\(\frac{y^2}{4}\)-x^2=1$.