Question

If the lengths of transverse and conjugate axis of the hypberbola are 4,2 then the distance Between the foci is

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

2a = 4 $\Rightarrow$ a = 1

2b = 2 $\Rightarrow$ b = 1 e = $\sqrt{1+\frac{1}{4}}=\frac{\sqrt{5}}{2}$

$s{s}^1=2ae=2.2\frac{\sqrt{5}}{2}=2\sqrt{5}$