Home
Class 11
MATHS
If the focus and vertex of a parabola ar...

If the focus and vertex of a parabola are the points (0, 2) and (0, 4), respectively, then find the equation

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the focus and the vertex of a parabola are (2,3) and (-1,1) respectively, then the directrix is :

If the vertex and focus of a parabola are (3,3) and (-3,3) respectively, then its equation is

If the vertex of a parabola is the point (-3,0) and the directrix is the line x+5=0 , then find its equation.

If the vertex of a parabola is the point (-3,0) and the directrix is the line x+5=0 , then find its equation.

If the vertex of a parabola is the point (-3,0) and the directrix is the line x+5=0 , then find its equation.

vertex and focus of a parabola are (-1,1) and (2,3) respectively. find the equation of the directrix.

vertex and focus of a parabola are (-1,1) and (2,3) respectively. find the equation of the directrix.

If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,0) respectively, then the equation of the hyperbola is

Find the equation of a parabola whose focus and vertex are (0, 0) and (0, 2) respectively.

The vertex and the focus of a parabola are at distances a and a' respectively form the origin on positive x- axis. The equation of the parabola is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the length of the common chord of the parabola y^2=4(x+3) and th...

    Text Solution

    |

  2. Find the coordinates of any point on the parabola whose focus is (0, 1...

    Text Solution

    |

  3. If the focus and vertex of a parabola are the points (0, 2) and (0, 4)...

    Text Solution

    |

  4. Find the length of the latus rectum of the parabola whose focus is at ...

    Text Solution

    |

  5. The focal chord of the parabola y^2=a x is 2x-y-8=0 . Then find the eq...

    Text Solution

    |

  6. The vertex of a parabola is (2, 2) and the coordinats of its two ex...

    Text Solution

    |

  7. Find the equation of the directrix of the parabola x^2-4x-3y+10=0.

    Text Solution

    |

  8. Find the locus of the midpoint of chords of the parabola y^2=4a x that...

    Text Solution

    |

  9. In the parabola y^2=4a x , then tangent at P whose abscissa is equal t...

    Text Solution

    |

  10. If the normal to the parabola y^2=4a x at point t1 cuts the parabola a...

    Text Solution

    |

  11. If the normals from any point to the parabola y^2=4x cut the line x=2 ...

    Text Solution

    |

  12. If (h,k) is a point on the axis of the parabola 2{(x-1)^2 + (y-1)^2} =...

    Text Solution

    |

  13. A ray of light moving parallel to the X-axis gets reflected from a par...

    Text Solution

    |

  14. A circle and a parabola y^2=4a x intersect at four points. Show that t...

    Text Solution

    |

  15. A parabola mirror is kept along y^2=4x and two light rays parallel to ...

    Text Solution

    |

  16. If incident from point (-1,2) parallel to the axis of the parabola y^2...

    Text Solution

    |

  17. Find the equation of parabola having focus at (1,1) and vertex at (-3,...

    Text Solution

    |

  18. Find the equation of the parabola with focus f(4,0) and directrix x=−4...

    Text Solution

    |

  19. Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)...

    Text Solution

    |

  20. The equation of the latus rectum of a parabola is x+y=8 and the equati...

    Text Solution

    |