Home
Class 11
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

`x^(2) + y^(2) - 6y + 7 = 0 `

B

`x^(2) + y^(2) -6y - 5 = 0 `

C

`x^(2) + y^(2) - 6y + 5 = 0 `

D

`x^(2) + y^(2) - 6y - 7 = 0 `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 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

MODERN PUBLICATION-CONIC SECTIONS -COMPETITION FILE
  1. An ellipse is drawn by taking a diameter of the circle (x – 1)^2 + y^2...

    Text Solution

    |

  2. The circle passing through (1, -2) and touching the axis of x at (3...

    Text Solution

    |

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

    Text Solution

    |

  4. Let C be the circle with centre at (1, 1) and radius = 1. If T is t...

    Text Solution

    |

  5. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

    Text Solution

    |

  6. The locus of the foot of perpendicular drawn from the centre of the...

    Text Solution

    |

  7. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+...

    Text Solution

    |

  8. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  9. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  10. The area (in sq. units) of the quadrilateral formed by the tangents...

    Text Solution

    |

  11. If one of the diameters of the circle, given by the equation, x^2+y^2-...

    Text Solution

    |

  12. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

    Text Solution

    |

  13. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  14. The eccentricity of the hyperbola whose length of the latus rectum i...

    Text Solution

    |

  15. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

    Text Solution

    |

  16. Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...

    Text Solution

    |

  17. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

    Text Solution

    |

  18. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |

  19. If a variable line 3x+4y-lamda=0 is such that the two circles x^(2)+y^...

    Text Solution

    |

  20. Let P(4,-4) and Q(9,6) be two points on the parabola, y^2=4x and let X...

    Text Solution

    |