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 JEE type solved examples|1 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 the parabola whose vertex and focus lie on the axis of x at distances a and a_1 from the origin, respectively, is

A point on x - axis at a distance x from the origin .

A point on y axis at a distance y from the origin.

Find the equation of the parabola with vertex at (0, 0) and focus is at (0, 2).

Find the equation of the parabola whose focus is (4,-3) and vertex is (4,-1).

The equation of the parabola having focus (3, 2) and vertex (1, 2), is :

Find the equation of the parabola with vertex is (2, 1) and the directrix is x = y -1.

Find the equation of the parabola whose focus is (1, 1) and tangent at the vertex is x + y= 1.

Find the equation of the parabola whose focus is (5,3) and directrix is the line 3x-4y+1=0.

Find the equation of the parabola whose focus is the point (- 1,- 2) and directrix is x -2y+3 =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=4a x\ passes through the point (3,2) then find th...

    Text Solution

    |

  3. Find the value of P such that the vertex of y=x^2+2p x+13 is 4 units a...

    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) -8x+c lies on x-axis, then the v...

    Text Solution

    |

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

    Text Solution

    |

  8. Let the set of integer be the universal set and let A = set of whole n...

    Text Solution

    |

  9. The equation of the latus retum 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. In a group of 60 people, 27 like cold drinks and 42 like hot drinks an...

    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 , and y=t^2-t+1 repres...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the equatin to the parabola whose axis is parallel to the y-xis a...

    Text Solution

    |

  20. The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the va...

    Text Solution

    |