Home
Class 11
MATHS
If the equation (x^(2))/(16 -K) + (y^(2...

If the equation ` (x^(2))/(16 -K) + (y^(2))/(5-K) = 1` represents an ellipse , then

A

`K gt 5`

B

`K gt 16`

C

`K lt 5 `

D

`5 lt K lt 16`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos
  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos
  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos
  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

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

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

If the equation (K(x+1)^(2))/(3) + ((y + 2 )^(2))/(4) =1 represents a ciecle, then K =

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

(x^(2))/(16-k)+(y^(2))/(k-9)=1 represents ellipse if

The equation (x^(2))/(2-lamda)-(y^(2))/(lamda-5)-1=0 , represent and ellipse, if

The equation (x^2)/(1-k)-(y^2)/(1+k)=1, k gt 1 represents s

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Given A -= (0,-1) " and " B = (0,1) . If P (x,y) is a point satisfyi...

    Text Solution

    |

  2. For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two ...

    Text Solution

    |

  3. If the equation (x^(2))/(16 -K) + (y^(2))/(5-K) = 1 represents an ell...

    Text Solution

    |

  4. Perimeter of a triangle formed by any point on the ellipse (x^(2))/...

    Text Solution

    |

  5. If P is any point on the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 whose...

    Text Solution

    |

  6. If a^(2) + b^(2) = 25 and a focus of the ellipse (x^(2))/(a^(2) ...

    Text Solution

    |

  7. S and T are foci of an ellipse and B is an end of the minor a...

    Text Solution

    |

  8. If the lines joining the foci of an ellipse to an end of its minor axi...

    Text Solution

    |

  9. P and Q are two points on ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =...

    Text Solution

    |

  10. The eccentricity of the ellipse which meets the straight line x/7+y/2 ...

    Text Solution

    |

  11. Find the area of the greatest rectangle that can be inscribed in an el...

    Text Solution

    |

  12. An arc of a bridge is semi-elliptical with the major axis horizonta...

    Text Solution

    |

  13. The equation of the ellipse whose centre is at origin and which passes...

    Text Solution

    |

  14. If the foci and vetrices of an ellipse be (pm 1,0) and (pm 2,0), then ...

    Text Solution

    |

  15. The equation of the directrice of the ellipse 16x ^(2) + 25 y ^(2)= 40...

    Text Solution

    |

  16. The latus rectum of an ellipse is 10 and the minor axis Is equal to th...

    Text Solution

    |

  17. Filnd the distance between the directrices the ellipse (x^2)/(36)+(...

    Text Solution

    |

  18. The distnce between the foci of the ellipse 3x ^(2) + 4y ^(2) =48 is

    Text Solution

    |

  19. Foci of an ellipse are (pm 5, 0) and one of its directrices is 5x =...

    Text Solution

    |

  20. If the eccentricity of an ellipse be (1)/(sqrt2), then its latus rectu...

    Text Solution

    |