- A hyperbola \(H\) has equation
$$\frac { x ^ { 2 } } { a ^ { 2 } } - \frac { y ^ { 2 } } { 5 } = 1 \quad \text { where } a \text { is a positive constant }$$
The line with equation \(x = \frac { 4 } { 3 }\) is a directrix of \(H\)
- Write down an equation of the other directrix.
- Determine
- the value of \(a\)
- the coordinates of each of the foci of \(H\)