Home
Class 11
MATHS
Obtain the equation of the ellipse whose...

Obtain the equation of the ellipse whose focus is the point (-1, 1), and the corresponding directrix is the line `x-y+3=0`, and the eccentricity is `1/2`.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Equation of the rectangular hyperbola whose focus is (1,-1) and the corresponding directrix is x-y+1=0 .

Find the equation of the parabola whose focus is at the origin and the equation of the directrix is x+y=1

Find the equatio of the parabola whose focus is at the origin and the equation of directrix is x + y = 1 .

Find the equation of the parabola whose vertexi is the point (1,-2) and the eqation of directrix is y + 5 = 0 .

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 parabola whose vertex is the point (-2,3) and directrix is the line x + 7 = 0

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

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

Find the equation of the hyperbola whose eccentricity is (5)/(4) , focus is (0,4) and the directrix is the line 4y - 9 = 0.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of the ellipse whose axes are of length 6 and 2sq...

    Text Solution

    |

  2. If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 repr...

    Text Solution

    |

  3. Obtain the equation of the ellipse whose focus is the point (-1, 1), a...

    Text Solution

    |

  4. The moon travels an elliptical path with Earth as one focus. The ma...

    Text Solution

    |

  5. If the foci of an ellipse are (0,+-1) and the minor axis of unit lengt...

    Text Solution

    |

  6. Let P be a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 of ecc...

    Text Solution

    |

  7. If C is the center of the ellipse 9x^2+16 y^2=144 and S is a focus,...

    Text Solution

    |

  8. Find the sum of the focal distances of any point on the ellipse 9x^...

    Text Solution

    |

  9. Find the lengths of the major and minor axis and the eccentricity of...

    Text Solution

    |

  10. Find the eccentricity, one of the foci, the directrix, and the leng...

    Text Solution

    |

  11. An ellipse passes through the point (4,-1) and touches the line x+4...

    Text Solution

    |

  12. If x/a+y/b=sqrt2 touches the ellipses x^2/a^2+y^2/b^2=1, then find the...

    Text Solution

    |

  13. Find the points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 such that the...

    Text Solution

    |

  14. An ellipse slides between two perpendicular straight lines. Then id...

    Text Solution

    |

  15. Find the locus of the foot of the perpendicular drawn from the cent...

    Text Solution

    |

  16. Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which ...

    Text Solution

    |

  17. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

    Text Solution

    |

  18. Consider an ellipse (x^2)/4+y^2=alpha(alpha is parameter >0) and a ...

    Text Solution

    |

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

    Text Solution

    |

  20. If the chord joining points P(alpha) and Q(beta) on the ellipse ((x^...

    Text Solution

    |