Find the eccentricity of the hyperbola.
-$$x ^ { 2 } - y ^ { 2 } = 49$$
A) $\sqrt { 2 }$
B) 0
C) 1
D) $\sqrt { 7 }$

Name: Find the eccentricity of the hyperbola. -\[x ^ { 2 } - y ^ { 2 } = 49\] A) $\sqrt { 2 }$ B) 0 C) 1 D) $\sqrt { 7 }$
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The given equation is of the form $x^2/a^2 - y^2/b^2 = 1$, where $a^2 = 49$ and $b^2 = 49$. The eccentricity of a hyperbola is given by $e = \sqrt{1 + b^2/a^2}$. Substituting $a^2 = b^2 = 49$, we get $e = \sqrt{1 + 49/49} = \sqrt{2}$.

Find the Eccentricity of the Hyperbola x2−y2=49x ^ { 2 } - y ^ { 2 } = 49x2−y2=49

Find the Eccentricity of the Hyperbola $x ^ { 2 } - y ^ { 2 } = 49$