Home
Class 12
MATHS
The radius of the circle passing through...

The radius of the circle passing through the foci of the ellipse `x^(2)/16+y^(2)/9=1`, and having its centre at (0, 3) is

A

4

B

3

C

`(1)/sqrt(2)`

D

`7/2`

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 equation of the circle passing through the foci of the ellipse x^(2)/16+y^(2)/9=1 , and having centre at (0, 3) is :

The equation of the circle passing through the foci of the ellipse (x^(2))/( 16) + ( y^(2))/( 9) = 1 , and having centre at (0,3) is

Find the radius of the circle passing through the foci of an ellipse 9x^2+16y^2=144 and having least radius.

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

The foci of the ellipse (x-1)^(2)/5+(y-5)^(2)/9=1 is

The Foci of the ellipse (x^(2))/(16)+(y^(2))/(25)-1 are

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

Find the equation of the circle passing through the intersection of the circles x^2+y^2=2ax, x^2+y^2=2by and having its centre on the line x/a-y/b=2 .

AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. Match the following from List-I to List-II {:(list-I,list-II),("majo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. C is the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 and...

    Text Solution

    |