Home
Class 12
MATHS
if the vertices of an ellipse are (-1...

if the vertices of an ellipse are `(-12,4) and (14,4)` and eccentricity 12/13 , then the equation of the ellipse ,is

A

`((x+4)^(2))/(25)+((y-1)^(2))/(169)=1`

B

`((x-4)^(2))/(169)+((y-1)^(2))/(25)=1`

C

`((x-1)^(2))/(169)+((y-4)^(2))/(25)=1`

D

`((x+1)^(2))/(169)+((y+4)^(2))/(25)=1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|7 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

If one vertex of an ellipse is (0,7) and the corresponding directrix is y = 12 , then the equation of the ellipse is

The eccentricity of the ellipse

The length of the latusrectum of an ellipse is (18)/(5) and eccentricity is (4)/(5) , then equation of the ellipse is . .

Find the equation of the ellipse whose foci re (4,0) and (-4,0) eccentricity =1/3

if vertices of an ellipse are (-4,1),(6,1) and x-2y=2 is focal chord then the equation of the ellipse is

Find the equation to the ellipse whose foci are (4, 0) and (-4, 0) and eccentricity is 1/3 .

If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricity is 5/6 then the equation of the ellipse is

The equation of the ellipse whose vertices are (2,-2),(2,-4) and eccentricity 1/3 is

Find the equation of the ellipse whose foci are (pm4,0) and eccentricity is (1)/(3) .

OBJECTIVE RD SHARMA-ELLIPSE-Exercise
  1. the equation of the axes of the ellispe 3x^(2)+4y^(2)+6x-8y-5=0 ...

    Text Solution

    |

  2. the equations to the directrices of the ellipse 4(x-3)^(2)+9(y+2)...

    Text Solution

    |

  3. if the vertices of an ellipse are (-12,4) and (14,4) and eccentr...

    Text Solution

    |

  4. if the coordinates of the vertices of an ellipse are (-6,1) and (...

    Text Solution

    |

  5. if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ...

    Text Solution

    |

  6. A man running around a race course notes that the sum of the distances...

    Text Solution

    |

  7. Find the angle between the pair of tangents from the point (1,2) to...

    Text Solution

    |

  8. Find the foci of the ellipse 25(x+1)^2+9(y+2)^2=225.

    Text Solution

    |

  9. if the coordinates of the centre , a foucs and adjacent vertex ...

    Text Solution

    |

  10. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

    Text Solution

    |

  11. A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)...

    Text Solution

    |

  12. The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisec...

    Text Solution

    |

  13. AB is a diameter of x^2 + 9y^2=25. The eccentric angle of A is pi/6 ...

    Text Solution

    |

  14. if one end of a diameter of the ellipse 4x^(2)+y^(2)=16 is (sqrt...

    Text Solution

    |

  15. the equation of a diameter conjugate to a diameter y=(b)/(a)x of ...

    Text Solution

    |

  16. if theta and phi are eccentric angles of the ends of a pair of ...

    Text Solution

    |

  17. If A,A' are the vertices S,S' are the foci and Z,Z' are the fe...

    Text Solution

    |

  18. The eccentricity of an ellipse whose pair of a conjugate diameter are ...

    Text Solution

    |

  19. the locus of the point of intersection of tangents to the ellipse...

    Text Solution

    |

  20. The number of maximum normals that can be drawn from any point to an e...

    Text Solution

    |