Question

The eccentricity of the hyperbola 5x² – 4y² + 20x + 8y = 4 is

• A. $\sqrt{2}$
• B. $\frac{3}{2}$
• C. 2
• D. 3

Answer 1

Answer: (B)

$\frac{3}{2}$

Answer 2

5x² – 4y² + 20x + 8y = 4

5(x + 2)² – 4(y – 1)² = 4 + 20 – 4

$\frac{(x + 2)^{2}}{4}$ – $\frac{(y - 1)^{2}}{5}$ = 1

Ž e = $\sqrt{1 + \frac{b^{2}}{a^{2}}}$ = $\sqrt{1 + \frac{5}{4}}$ = $\frac{3}{2}$