Home
Class 12
MATHS
The equation (x^(2))/(7-K) +(y^(2))/(5-K...

The equation `(x^(2))/(7-K) +(y^(2))/(5-K)=1` represents a hyperbola if

A

`5 lt K lt 7`

B

`K lt 5 or K gt 7`

C

`K gt 5`

D

`K ne 5, K ne 7`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Practice Exercise|55 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Examples|10 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -I|47 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

Statement-I: The number of integral values of K for which the equation (x^(2))/(3K-2) +(y^(2))/(K-10)=1 represents a hyperbola is 10. Statement-II : The above equation represents a rectangular hyperbola for K =3. Which of above statements is true

Show that the equation (x^(2))/(9-c)+(y^(2))/(5-c)=1 represents. A hyperbola if c is any real constant between 5 and 9.

The equation (x^(2))/(12-k) +(y^(2))/( 8-k) =1 represents

If x^(2)/(12-k) -(y^(2))/(k-8)=1 represents a hyperbola then

The equation (x^(2))/(10-k)+(y^(2))/(k-4)=1 represents an ellipse if

If the equation (x^(2))/(9-k)+(y^(2))/(5-k)=1 represents an ellipse then

The equation | sqrt( (x- 2) ^(2) + (y-1) ^(2)) - sqrt( (x+ 2)^(2) +y^(2)) =c will represent a hyperbola if

Find k, if the equation 2x^(2) + kxy - 6y^(2) + 3x + y + 1 = 0 represents a pair of lines. Find the point of intersection of the lines and angle between the lines for this value of k.

The equation Kx^(2)+4xy+5y^(2)=0 represents two lines inclined at an angle pi if K =

AAKASH SERIES-HYPERBOLA-Exercise -II
  1. The transverse axis of a hyperbola is of length 2a and a verlex divide...

    Text Solution

    |

  2. If e(1) is the eccentricity of the ellipse x^(2)/16+y^(2)/25=1 and e(2...

    Text Solution

    |

  3. The equation (x^(2))/(7-K) +(y^(2))/(5-K)=1 represents a hyperbola if

    Text Solution

    |

  4. If the foci of the ellips (x^(2))/( 25)+ ( y^(2))/( 16) =1 and the hy...

    Text Solution

    |

  5. The foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbla (x^2...

    Text Solution

    |

  6. Statement-I : If P,Q,R,S are the ends of latus recta of the hyperbola ...

    Text Solution

    |

  7. The eccentricity of the hyperbola 4x^(2)-9y^(2)=2ax +b^(2) is

    Text Solution

    |

  8. The eccentricity of x^(2)/9-y^(2)/(16)=1 is

    Text Solution

    |

  9. If (5,12), (24,7) are the foci of the hyperbola passing through origin...

    Text Solution

    |

  10. If the ecentricity of a hyperbola is sqrt3 then the ecentricity of its...

    Text Solution

    |

  11. If e and e^1 are the eccentricities of the ellipse 5x^(2)+9y^(2)=45 an...

    Text Solution

    |

  12. If the equation (10x-5)^(2)+(10y 4)^(2)=lambda^(2) (3x+4y-1)^(2) repre...

    Text Solution

    |

  13. Statement-I: The number of integral values of K for which the equation...

    Text Solution

    |

  14. The equation of the director circle of x^(2)//12-y^(2)//8=1 is

    Text Solution

    |

  15. If the tangents drawn from a point on the hyperola x^(2)-y^(2)=a^(2)-b...

    Text Solution

    |

  16. Equation of one of the tangents passing through (2, 8) to the hyperbol...

    Text Solution

    |

  17. The locus of the point of Interection of two tangents to the hyperbola...

    Text Solution

    |

  18. Locus of P such that the chord of contact of P with respect to y^2= 4a...

    Text Solution

    |

  19. 3x+4y-7=0 is normal to 4x^(2)-3y^(2)=1 at the point

    Text Solution

    |

  20. The mid point of the chord 4x-3y=5 of the hyperbola 2x^(2)-3y^(2)=12 i...

    Text Solution

    |