Answer
a) See the explanation
b) See the explanation.
C) See the explanation.
Work Step by Step
a) A hyperbola is the set of all points in a plane the difference of whose distances from two
fixed points F1 and F2 (the foci) is a constant.
b) The equation for the hyperbola with foci (±c,0) and vertices (±a,0) is given by $$\frac{x^2}{a^{2}}-\frac{y^2}{b^{2}}=1$$ where$$ c^2 = (a^2 + b^2)$$
c) Asymptotes $$y=±\frac{b}{a}x $$.
