Home
Class 12
MATHS
(x - 2)^(2) + (y + 3)^(2) = 16 touching ...

`(x - 2)^(2) + (y + 3)^(2)` = 16 touching the ellipse `(x-2)^(2)/(p^(2))+(y+3)^(2)/(q^(2))=1` from inside if (2,-6) is one focus of the ellipse then (p,q)=

A

4,5

B

5,4

C

5,3

D

3,5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-I|52 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 Foci of the ellipse (x^(2))/(16)+(y^(2))/(25)-1 are

The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

The centre of the ellipse (x+y-2)^(2)/9+(x-y)^(2)/16=1 is

(x)/(a)+(y)/(b)=sqrt(2) touches the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then the eccentric angle of P is

The centre of the ellipse (2x-3y-1)^(2)/16+(3x+2y-8)^(2)/9=1 is

The centre of the ellipse (x+y-3)^(2)/9+(x-y+1)^(2)/16=1 is

P is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1 ; S,S^(1) are the Foci of the ellipse then SP + S^(1)P =

If the ecentricity of the ellipse (x^(2))/( a^(2) +1) +(y^(2))/(a^(2)+2) =1 be (1)/(sqrt6) then length of the latusrectum of the ellipse is

AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. If A = (1,2),B = ( 3 ,-2 ) and P moves in the plane such that AP + BP ...

    Text Solution

    |

  2. Match the following from List-I to List-II {:(list-I,list-II),("majo...

    Text Solution

    |

  3. (x - 2)^(2) + (y + 3)^(2) = 16 touching the ellipse (x-2)^(2)/(p^(2))+...

    Text Solution

    |

  4. The radius of the circle passing through the foci of the ellipse x^(2)...

    Text Solution

    |

  5. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

    Text Solution

    |

  6. A focus of an ellipse is at the origin the directrix is the line x=4 a...

    Text Solution

    |

  7. The eccentricity of the ellipse x^(2)+4y^(2)+2x+16y+13=0 is

    Text Solution

    |

  8. LL^(1) is the latus rectum of an ellipse and triangleS^(1)LL^(1) is an...

    Text Solution

    |

  9. The area of an ellipse is 8pi sq. units dist. between the foci is 4sqr...

    Text Solution

    |

  10. Statement-I : If a Iatusrectum of an ellipse subtends angle 60^(@) at ...

    Text Solution

    |

  11. A circle is described with minor axis of an ellipse as a diameter. If ...

    Text Solution

    |

  12. The eccentricity of the ellipse given by the locus of the point P(x, y...

    Text Solution

    |

  13. If (5, 12) and (24, 7) are the focii of conic passing through (0, 0), ...

    Text Solution

    |

  14. If S and S^(1) are the foci BB^(1) is the minor axis such that Ang(SBS...

    Text Solution

    |

  15. The eccentricity of the ellipse x^(2)/9+y^(2)/16=1 is

    Text Solution

    |

  16. The eccentricity of the ellipse 9x^(2) + 5y^(2) - 18x - 2y - 16 = 0 is

    Text Solution

    |

  17. In an ellipse the distance between the foci is 6 and it's minor axis i...

    Text Solution

    |

  18. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

    Text Solution

    |

  19. The slopes of the tangents drawn from (4, 1) to the ellipse x^(2)+2y^(...

    Text Solution

    |

  20. Statement-I : The sum of the slopes of the tangents drawn from (5,4) ...

    Text Solution

    |