If a<u> hyperbola</u> is <u>centered </u>at the <u>origin</u> and has <u>vertex</u> and<u> focus </u>on the x-axis, then its equation is
1. The vertex A of hyperbola has coordinates (-6,0), then the distance from the origin (center of the hyperbola) to the vertex is
2. The focus F has coordinates (10,0), then the distance from the origin to the focus is
3. Find b, using formula
4. The equation of the hyperbola is
5. The directrices' equations are
where
In your case,
and directrices' equations are
Answer: x=-3.6, x=3.6, correct choice is C