Question

Let $H$ be the hyperbola, whose foci are $(1 \pm \sqrt{2}, 0)$ and eccentricity is $\sqrt{2}$. Then the length of its latus rectum is _____

• A. 3
• B. $\frac{5}{2}$
• C. 2
• D. $\frac{3}{2}$

Answer 1

Answer: (C)

2

Answer 2

2ae=∣(1+2​)−(1+2​)∣=22​
ae=2​
a=1
⇒b=1
∵e=2​
⇒ Hyperbola is rectangular
⇒L⋅R=a2b2​=2
So, the correct option is (C) : 3