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If a hyperbola has one focus at the orig...

If a hyperbola has one focus at the origin and its eccentricity is `sqrt2` .One of the directrices is ` x+y+1=0 .` Then the centre of the hyperbola is

A

`(-1,1) `

B

`(1,-1)`

C

` ( -2,-1) `

D

` ( 2,2) `

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The correct Answer is:
A
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AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
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  4. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  5. The point of intersection of the asymptotes with the directrices lie o...

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  6. If a hyperbola passing through the origin has 3x-4y -1=0 and 4x -3y -6...

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  7. The eccentricity of the hyperbola 3x^(2) +7xy +2y^(2) -11x -7y +10 ...

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  8. If H(x,y) =0 represents the equation of a hyperbola and A( x,y ) =0 ,...

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  9. The equation of a hyperbola conjugate to the hyperbola 2x^(2) +3xy -2y...

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  10. The equation to the conjugate hyperbola of xy+ 3x- 4y +13=0 is

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  11. A = (1,2) , B= ( 6,-10 ) locus of P such that PA- PB =13 is

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  12. s= 0 is a hyperbola , if s+ k =0 (k is a real number ) represents eq...

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  13. If the distances between two parallel tangents drawn to the hyperbola ...

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  14. A tangent drawn to hyperbola (x^(2))/( a^(2)) -(y^(2))/( b^(2)) =1 a...

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  15. The sides AC and AB of a Delta ABC touch the conjugate hyperbola of ...

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  16. If values of m for which the line y= mx +2 sqrt5 touches the hyperbola...

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  17. If a ray of light incident along the line 3x+ (5-4 sqrt2 ) y= 15 get...

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  18. Statement I: Asymptotes of hyperbola 3x+4y =2 and 4x-3y =5 are bisecto...

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  19. If S1 and S2 are the foci of the hyperbola whose transverse axis le...

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  20. Statement 1 : Ellipse (x^(2))/( 25) + ( y^(2))/( 16) =1 and 12x^(2)...

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