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If a hyperbola passing through the origi...

If a hyperbola passing through the origin has `3x-4y -1=0 and 4x -3y -6=0 ` as its asymptotes , then
the equation of its transverse and conjugate axes are

A

`x-y-5=0 and x+y+1=0 `

B

` x-y =0 and x+y +5=0`

C

` x+y -5=0 and x-y -1=0 `

D

`x+y-1 =0 and x-y -5=0 `

Text Solution

Verified by Experts

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Statement 1: If a circle S = 0 intersects a hyperbola xy =4 at four p...

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  19. Statement 1: Equation of tangents to the hyperbola 2x^(2) -3y^(2) =6 ...

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  20. Statement 1 : There are infinite points from which two mutually perpen...

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