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Focii of Hyperbola

If a hyperbol...

Question

If a hyperbola has one focus at the origin and its eccentricity is $\sqrt{2}$ . One of the directrices is $x + y + 1 = 0.$ Then the centre of the hyperbola is

A

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B

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C

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D

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Solution

The correct option is A
From the above question centre of hyperbola i.e, the point of intersection of the asymptotes, is $(- 1, - 1)$

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