Home
Class 11
MATHS
Find the equation of an ellipse whose ec...

Find the equation of an ellipse whose eccentricity is 1/2,coordinates of one of its foci is (2,0) and equations of its corresponding directrix is x-8=0,Also find out the distance of this focus from its nearest vertex.

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    UNITED BOOK HOUSE|Exercise EXERCISE|18 Videos

  • ANNUAL EXAMINATION QUESTION PAPERS 2015

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the ellipse whose eccentricity is (1)/(2) , focus is (2,0) anddirectix is x - 8 = 0

Find the equation of a hyperbola whose eccentricity is 5/4 and the. coordinate of foci are (2, -3)and (2, 5).

find the equation of the ellipse whose eccentricities is 1/2, focus is (-1, 1), directrix is y = x + 3.

Find the equation of the hyperbola whose eccentricity is 3, focus is (-1,1) and equation of directrix is x - y + 3 = 0.

Find the equation of the ellipse whose eccentricity is (1)/(2) , focus is (-1,1) , directrix is x - y + 3 = 0 .

Find the equation of the hyperbola whose eccentricity is sqrt(3) , focus is at (2,3) and equation of directrix is x + 2y = 1.

Find the equation of an ellipse with eccentricity 1/2 , focus F(1,1) and the line x-y+3 =0 as directrix.

Find the equation of the hyperbola whose eccentricity is sqrt(2) , focus is (3,1) and equation of directrix is 2x + y - 1 = 0.

Find the equation of an ellipse whose axes are the x-and y-axis and whose one focus is at (4,0) and eccentricity is 4/5.

Find the equation of the hyperbola whose eccentricity is sqrt(2) , focus is (a,0) and directrix is the line x = (a)/(2) .

UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2014-EXERCISE
  1. In the expansion of (root(3)(2)+1/root(3)(3))^nthe rationof the 7th te...

    Text Solution

    |

  2. If the sum of sirst n terms of a G.P is p.sum of its first 2n terms is...

    Text Solution

    |

  3. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

    Text Solution

    |

  4. If the straight line x/a+y/b=1is parallel to the line 4x+3y=6 and pas...

    Text Solution

    |

  5. Find the equations of the circles which pass through the origin and cu...

    Text Solution

    |

  6. Evaluate:lim(xrarr0)(sin(x^2+4x))/(x^3-5x^2+2x)

    Text Solution

    |

  7. Find from the first principle,the derivative of tan 2x at x=pi/8

    Text Solution

    |

  8. Show that the following statement is true by the method of contraposit...

    Text Solution

    |

  9. Prove the following by contradiciton ."The sum of a rational and an ir...

    Text Solution

    |

  10. What is the probability that a year,selected at random,in between 2001...

    Text Solution

    |

  11. For a group of 200 students the mean and S.D of marks obtained by them...

    Text Solution

    |

  12. Prove thatcos^2alpha+cos^2(120^@-alpha)+cos^2(120^@+alpha)=3/2

    Text Solution

    |

  13. Prove that tan70^(@)=2tan50^(@)+tan20^(@).

    Text Solution

    |

  14. Draw the structure of the following: SF4

    Text Solution

    |

  15. state the fundamental theorm of algebra and solve the equation 3x^2-5i...

    Text Solution

    |

  16. How many numbers lying between 100 and 1000 can be formed with the dig...

    Text Solution

    |

  17. If S1,S2...Smdenote the sums of n terms of m numbers of A.P is whose f...

    Text Solution

    |

  18. Prove that the least focal chord of a parabolaa is it rectum.

    Text Solution

    |

  19. Find the equation of a hyperbola having coodinates of its vertices (+-...

    Text Solution

    |

  20. Find the equation of an ellipse whose eccentricity is 1/2,coordinates ...

    Text Solution

    |