Answer
Hyperbola

Work Step by Step
Given: $16x^{2}-25y^{2}=400$
Divide both sides by $400$
$\frac{16x^{2}}{400}-\frac{25y^{2}}{400}=1$
$\frac{x^{2}}{5^{2}}-\frac{y^{2}}{4^{2}}=1$
which is the standard form of the equation of a hyperbola.
