Home
Class 12
MATHS
If the equation (x^(2))/(9-k)+(y^(2))/(5...

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

A

`kin(5,9)`

B

`kin[5,9]`

C

`klt5`

D

`kgt5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-II|68 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos
  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

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

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

Show that the equation (x^(2))/(9-c)+(y^(2))/(5-c)=1 represents. An ellipse if 'c' is a real constant less than 5.

The equation x^(2)/(r-2)+y^(2)/(5-r)= 1 represents an ellipse if

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

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

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/(10-a)+y^2/(4-a)=1 represents an ellipse then show that a lt 4

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.

AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. The centre of a ellipse where axes is parllel to co-ordinate axes is (...

    Text Solution

    |

  2. The equation of the ellipse whose vertices are (-4, 1), (6, 1) and one...

    Text Solution

    |

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

    Text Solution

    |

  4. The centre of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 is

    Text Solution

    |

  5. The foci of the ellipse 36x^(2) + 9y^(2) = 324 are

    Text Solution

    |

  6. The coordinates of the foci of the ellipse 4x^(2) + 9y^(2) = 1 are

    Text Solution

    |

  7. The length of the latusrectum of ((x-3)^(2))/(16)+(y-2)^(2)/(36)=1 is

    Text Solution

    |

  8. The equation of the minor axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2)/...

    Text Solution

    |

  9. The equations of the directrices of the ellipse 9x^(2) + 25y^(2) = 22...

    Text Solution

    |

  10. The vertices of the ellipse 9x^(2) + 25y^(2) - 90x - 150y + 225 = 0 ar...

    Text Solution

    |

  11. The foci of the ellipse 9x^(2)+ 5(y^(2)-10y +25)=45 are

    Text Solution

    |

  12. The equation of the major axis of 25x^(2) + 16y^(2)-100x - 96y - 156 =...

    Text Solution

    |

  13. The equations of the latus recta of the ellipse 9x^(2) + 25y^(2) - 36x...

    Text Solution

    |

  14. The equations of the directrices of 16x^(2) + 25y^(2) - 96x - 100y - 1...

    Text Solution

    |

  15. The asending order of the eccentricities l(1),l(2),l(3) of the conics...

    Text Solution

    |

  16. Let P be a point on an ellipse whose parameter is (pi)/(3) . The sum a...

    Text Solution

    |

  17. Match the eccentricities of the ellipses The correct Matching is

    Text Solution

    |

  18. Assertion (A) : the sum and product of the slopes of the tangents to...

    Text Solution

    |

  19. If the latusrectum of an ellipse is half of its major axis then e is

    Text Solution

    |

  20. If the latus rectum of an ellipse is half of its minor axis then e =

    Text Solution

    |