Home
Class 12
MATHS
The equation of a hyperbola conjugate to...

The equation of a hyperbola conjugate to the hyperbola `2x^(2) +3xy -2y^(2) +3x+ y+2=0 ` is `2x^(2) +3xy -2y^(2) +3x+ y+k =0 ` then k=

A

0

B

1

C

`-4`

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise ELLIPSE|55 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

The equation of the line concurrent with the pair of lines 2x^(2)+3xy-2y^(2)-7x+y+3=0

The eccentricity of the conjugate hyperbola of the hyperola x^(2)-3y^(2)=1 is

The vertices of the hyperbola x^(2) -3y^(2) +2x +12y +1=0 are

The equation of the conjugate axis of the hyperbola ((y-2)^(2))/(9)-((x+3)^(2))/(16)=1 is

The asymptotes of the hyperbola 6x^(2) +13xy +6y^(2) -7x -8y-26 =0 are

Find the asymptodes of the hyperbola 2x^(2)+5xy+2y^(2)-11x-7y-4=0

In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ,then k =

AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
  1. The eccentricity of the hyperbola 3x^(2) +7xy +2y^(2) -11x -7y +10 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If x= 9 is a chord of contact of the hyperbola x^(2) -y^(2) =9, then ...

    Text Solution

    |

  19. Statement 1 : If (3,4) is point on a hyperbola having focus (3,0 ) a...

    Text Solution

    |

  20. A tangent to the hyperbola (x^(2))/( 4) -(y^(2))/( 2) =1 meets x-axis...

    Text Solution

    |