Home
Class 11
MATHS
The foci of the ellipse 9x^2 +4y^2 =36 a...

The foci of the ellipse `9x^2 +4y^2 =36` are

A

`(-5,0)`

B

`(0,pm sqrt5)`

C

`(pm5,0)`

D

`(0,-5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|4 Videos
  • COMPLEX NUMBER AND QUADRATIC EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|25 Videos
  • LIMITS AND DERIVATIVES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|26 Videos

Similar Questions

Explore conceptually related problems

Find the co-ordinate of the foci, the vertices, the lengths of major and minor axes and eccentricity of the ellipse 9x^(2) + 4y^(2) = 36 .

A parabola is drawn whose focus is one of the foci of the ellipse x^2/a^2 + y^2/b^2 = 1 (where a>b) and whose directrix passes through the other focus and perpendicular to the major axes of the ellipse. Then the eccentricity of the ellipse for which the length of latus-rectum of the ellipse and the parabola are same is

The eccentricity of the ellipse 4x^2 + 9y^2 = 36 is :

The foci of the ellipse 25(x+1)^2 + 9(y+2)^2 = 225 , are at :

If a hyperbola passes through the foci of the ellipse x^2/25+ y^2/16=1 and, its transverse and conjugate axes coincide with the major and minor axes of the ellipse and product of their eccentricities be 1, then the equation of hyperbola is :

A ray emanating from the point (0, sqrt5 ) is incident on the ellipse 9x^(2)+4y^(2)=36 at the point P with abscissa 2. find the equation of the reflected ray after first reflection.

AOBA is the part of the ellipse 9x^2+y^2=36 in the first quadrant such that OA=2 and OB=6. Find the area between the arc AB and the chord AB.

Statement 1 : The area of the ellipse 2x^2+3y^2=6 is more than the area of the circle x^2+y^2-2x+4y+4=0 . Statement 2 : The length f the semi-major axis of an ellipse is more that the radius of the circle.

In the following, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. 36x^2 + 4y^2 = 144

OMEGA PUBLICATION-CONIC SECTIONS -Multiple Choice Questions (MCQs)
  1. If the parabola y^2 = 4ax passes through (3, 2), then the length of ...

    Text Solution

    |

  2. The locus of a point which moves so that its distance from a fixed po...

    Text Solution

    |

  3. The foci of the ellipse 9x^2 +4y^2 =36 are

    Text Solution

    |

  4. If the latus rectum of an ellipse is one half of its minor-axis, then...

    Text Solution

    |

  5. The eccentricity of the conic 9x^2 +25y^2 =225 is

    Text Solution

    |

  6. The foci of the hyperbola 9x^2 – 16y^2 = 144 are

    Text Solution

    |

  7. If P (x,y) , F1(3,0) and F2 (-3,0) and 16x^2 +25y^2 =400 , then PF1+PF...

    Text Solution

    |

  8. If the major axis of an ellipse is thrice the minor axis, then its ecc...

    Text Solution

    |

  9. The latus rectum of the hyperbola 16x^2 -9y^2=144 is

    Text Solution

    |

  10. The area of a circle centred at (1,2) and passing through (4, 6) is

    Text Solution

    |

  11. The equation of a circle with centre at (1,0) and circumference 10pi ...

    Text Solution

    |

  12. The equation of the circle whose centre is (0, 0) and which passes thr...

    Text Solution

    |

  13. The ends of diameter of a circle are (2, 3) ,(6,5). The centre of the ...

    Text Solution

    |

  14. The centre and radius of the circle x^2+(y-1)^2=2 are

    Text Solution

    |

  15. The eccentricity 'e' of a parabola is

    Text Solution

    |

  16. The equation of the directrix of the parabola x^2=-4ay is

    Text Solution

    |

  17. The length of the latus rectum of the hyperbola x^2/a^2-y^2/b^2=1 is

    Text Solution

    |

  18. If e is the eccentricity of the ellipse x^2/a^2+y^2/b^2 = 1 (a lt b) ,...

    Text Solution

    |

  19. The latus rectum of the ellipse 5x^2+9y^2 = 45 is

    Text Solution

    |

  20. If (x, 4) and (2, 8) are the extremities of a diameter of circle with....

    Text Solution

    |