Home
Class 12
MATHS
Equation of the ellipse with eccentricit...

Equation of the ellipse with eccentricity `(1)/(2)` and foci at `(pm1,0)` is

A

`(x^(2))/(3)+(y^(2))/(4)=1`

B

`(x^(2))/(4)+(y^(2))/(3)=1`

C

`(x^(2))/(4)+(y^(2))/(3)=(4)/(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos
  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

The equation of the hyperbola with eccentricity 3/2 and foci at (pm2,0) is

The equation of the hyperbola with vertices at (pm5,0) and foci at (pm7,0) is :

The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0) is

Find the equation of the ellipse whose vertices are (+-13,0) and foci are (+-5,0)

An ellipse with eccentricity e=(1)/(2) has a focus at (0,0) and the corresponding directrix x+6=0 . The equation of the ellipse is

The equation of the ellipse with foci at (pm3,0) and vertices (pm5,0) is :

The equation to the ellipse whose foci are (pm2,0) and eccentricity (1)/(2) is :

Find the equation of the ellipse, whose length of the major axis is 20 and foci are (0,+-5)

The equation of the ellipse whose vertices are (-4,1) and (6,1) and a focus lies on x-2 y-2 =0 is

The equation of the ellipse whose one focus is at (4,0) and whose eccentricity is (4)/(5) is

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

    Text Solution

    |

  2. The line x+y=a will be a tangent to the ellipse (x^(2))/(9)+(y^(2))/(1...

    Text Solution

    |

  3. Equation of the ellipse with eccentricity (1)/(2) and foci at (pm1,0) ...

    Text Solution

    |

  4. The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)-1=0 represents an e...

    Text Solution

    |

  5. The number of values oif c such that the line y=4x+c touches the curve...

    Text Solution

    |

  6. The eccentric angle of the point (2,sqrt(3)) lying on (x^(2))/(16)+(y^...

    Text Solution

    |

  7. If the focii of (x^(2))/(16)+(y^(2))/(4)=1 and (x^(2))/(a^(2))-(y^(2...

    Text Solution

    |

  8. If the latus-rectum of the ellipse is half the minor axis, then its ec...

    Text Solution

    |

  9. If C is the centre and L and L' are the ends of the latus-rectum of th...

    Text Solution

    |

  10. The equation of auxiliary circle of the hyperbola (x^(2))/(4)-(y^(2))/...

    Text Solution

    |

  11. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

    Text Solution

    |

  12. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  13. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

    Text Solution

    |

  14. Let P(x(1), y(1)) and Q(x(2), y(2)), y(1) lt 0, y(2) lt 0 be the end p...

    Text Solution

    |

  15. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

    Text Solution

    |

  16. The line passing through the extremity A of the major axis and extremi...

    Text Solution

    |

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

    Text Solution

    |

  18. The ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with c...

    Text Solution

    |

  19. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

    Text Solution

    |

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

    Text Solution

    |