Correct Answer - Option 1 : 2
Concept:
In a hyperbola \(\rm \frac{x^2}{a^2}-\frac{y^2}{b^2}=1\), a > b:
The length of the latus rectum is equal to \(\rm \frac{2b^2}{a}\).
Calculation:
The given equation of the hyperbola can be written as:
\(\rm \frac{x^2}{2^2}-\frac{y^2}{\left(\sqrt2\right)^2}=1\)
Here, b2 = 2 and a = 2.
Length of the latus rectum = \(\rm \frac{2b^2}{a}\) = 2.