Home
Class 12
MATHS
the equation of the circle passing t...

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

A

4

B

`3/7`

C

`sqrt12`

D

`7/12`

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `x^(2)/16+y^(2)/9=1`
`thereforee=sqrt(1-9/16=)sqrt7/4`
`thereforecoordinates of foci are (+-sqrt7,0).` since, centre of circle is (0,3) and passing through foci (+-sqrt7,0). `
`=sqrt((0+-sqrt7)^(2)+(3-0)^(2))=sqrt(7=9)=4`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

  • CONTINUITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|16 Videos

Similar Questions

Explore conceptually related problems

the equilibrium 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 radius of the circle passing through the foci of the ellipse (x^(2))/(16)+(y^(2))/(9) and having its center (0,3) is 4(b)3(c)sqrt(12) (d) (7)/(2)

The radius of the circle passing through the foci of the ellipse 9x^(2) + 16y^(2) = 144 and having its centre at (0, 3), is

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

The equation of the circle passing through (4, 5) having the centre (2, 2), is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-CIRCLE AND CONICS-All Questions
  1. If the line y = 7x - 25 meets the circle x^(2) + y^(2) = 25 in the poi...

    Text Solution

    |

  2. The nearest point on the circle x^2 +y^2-6x + 4y-12=0 from (-5,4) is

    Text Solution

    |

  3. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |

  4. A parabola has the origin as its focus and the line x""=""2 as the ...

    Text Solution

    |

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

    Text Solution

    |

  6. The directrix of the parabola y^(2)+4x+3=0is

    Text Solution

    |

  7. If the distance between the foci and the distance between the directri...

    Text Solution

    |

  8. The focal distance of a point on the parabola y^2= 16x whose ordinat...

    Text Solution

    |

  9. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  10. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

    Text Solution

    |

  11. If the eccentricity of a hyperbola is sqrt(3), the eccentricity of its...

    Text Solution

    |

  12. If (-1,-2sqrt2)is one of exteremity of a focal chord of the parabola ...

    Text Solution

    |

  13. The latus rectum of a parabola whose focal chord is PSQ such that SP =...

    Text Solution

    |

  14. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  15. Distance between foci is 8 and distance between directrices is 6 of hy...

    Text Solution

    |

  16. The eccenttricity of the hyperbola x^(2)/16-y^(2)/25=1is

    Text Solution

    |

  17. The eccentricity of the ellipse

    Text Solution

    |

  18. Find the locus of a point whiich moves in such a way that the sum of i...

    Text Solution

    |

  19. The cable of a uniformly loaded suspension bridge hangs in the form...

    Text Solution

    |

  20. An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high ...

    Text Solution

    |