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

Q1

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

[JEE Main 2023, 31 Jan (Shift 2)]

a

2

b

3

c

\(\frac{5}{2}\)

d

\(\frac{3}{2}\)

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