Home
Class 12
MATHS
Prove that the equation of the parabola ...

Prove that the equation of the parabola whose vertex and focus are on the X-axis at a distance a and a'from the origin respectively is `y^2=4(a'-a)(x-a)`

Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The equation of parabola whose vertex and focus lie on the axis of x at distances a and a_1 from the origin respectively, is

What is the equation of the parabola, whose vertex and focus are on the x-axis at distance a and b from the origin respectively ? (bgtagt0)

The equation of the parabola whose vertex and focus lie on the axis of x at distances a and a_(1) from the origin,respectively,is y^(2)-4(a_(1)-a)xy^(2)-4(a_(1)-a)(x-a)y^(2)-4(a_(1)-a)(x-a)1) none of these

The equation of the parabola whose vertex is at(2, -1) and focus at(2, -3), is

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

ARIHANT MATHS-PARABOLA-Exercise For Session 1
  1. The vertex of the parabola y^2+6x-2y+13=0 is

    Text Solution

    |

  2. IF the parabola y^2=4ax passes through (3,2) then the length of latusr...

    Text Solution

    |

  3. The value of p such that the vertex of y=x^2+2px+13 is 4 units above t...

    Text Solution

    |

  4. The length of the latusrectum of the parbola whose focus is (3, 3) and...

    Text Solution

    |

  5. If the vertex and focus of a parabola are (3,3) and (-3,3) respectivel...

    Text Solution

    |

  6. If the vertex of the parabola y=x^(2)x+c lies on x-axis, then the valu...

    Text Solution

    |

  7. The parabola having its focus at (3,2) and directrix along the Y-axis ...

    Text Solution

    |

  8. The directrix of the parabola x^2-4x-8y + 12=0 is

    Text Solution

    |

  9. The equation of the latusrectum of the parabola x^2+4x+2y=0 is

    Text Solution

    |

  10. The focus of the parabola x^2-8x+2y+7=0 is

    Text Solution

    |

  11. The equation of the parabola with the focus (3,0) and directrix x+3=0 ...

    Text Solution

    |

  12. Equation of the parabola whose axis is parallel to Y- axis and which p...

    Text Solution

    |

  13. Find the equation of the parabola whose focus is (5,3) and directrix i...

    Text Solution

    |

  14. Find the equation of the parabola, if the focus is at (-6,-6) and the...

    Text Solution

    |

  15. Find the vertex , focus, axis , directrix and latusrectum of the parab...

    Text Solution

    |

  16. Find the name of the conic represented by sqrt((x/a))+sqrt((y/b))=1.

    Text Solution

    |

  17. The curve described parametrically by x = t^2 + t +1, y = t^2 - t + 1 ...

    Text Solution

    |

  18. Prove that the equation of the parabola whose vertex and focus are on ...

    Text Solution

    |

  19. Find the equation of the parabola whose axis is parallel to X-axis and...

    Text Solution

    |

  20. The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola, then find t...

    Text Solution

    |