Home
Class 12
MATHS
Find the equation of the parabola whose ...

Find the equation of the parabola whose axis is parallel to Y-axis and which passes through the points (4,5),(-2,11) and (-4,21).

Text Solution

Verified by Experts

The correct Answer is:
the equation of the parabola is `x^(2) - 4x- 2y + 10=0`.
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.1 I.|14 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.1 II.|5 Videos

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the parabola whose axis is parallel to X-axis and which passes through these points. (-2,1),(1,2), and (-1,3)

Find the equation of parabola whose axis is parallel to x-axis and which passes through the points (-2, I) (1,2) (-1. 3)

Equation or Parabola whose axis is parallel to y-axis and passing through the points (1, 2), (4, -1) and (2, 3) is

AAKASH SERIES-PARABOLA-SOLVED EXAMPLES
  1. Find the equation of the parabola whose focus is S (3,5) and vertex is...

    Text Solution

    |

  2. If L and L' are the ends of the latus rectum of the parabola x^(2)=6y ...

    Text Solution

    |

  3. Find the equation of the parabola whose axis is parallel to Y-axis and...

    Text Solution

    |

  4. The points (-3,2) and (-3,1) are the end points of latusrectum of a pa...

    Text Solution

    |

  5. If (a^(2) , a-2) be a point interior to the region of the parabola y^(...

    Text Solution

    |

  6. Find the real values of a for which the point (-2a, a+ 1) lies in the ...

    Text Solution

    |

  7. Two parabolas y^(2) = 4a(x- lambda(1) ) and x^(2) = 4a(y- lambda2) alw...

    Text Solution

    |

  8. The cable of a unformely loaded suspension bridge hangs in the form of...

    Text Solution

    |

  9. The line 2x-y +2 =0 touches the parabola y^(2) = 4px. Find P and also ...

    Text Solution

    |

  10. Find the equation of the tangent to the parabola y^(2) = 8x and which ...

    Text Solution

    |

  11. Find the equation of normal to the parabola y^(2) = 4x and whose slope...

    Text Solution

    |

  12. Find the equation of the tangent and normal to the parabola x^(2)-4x-8...

    Text Solution

    |

  13. Find the equation of tangent to the parabola y^(2)=8ax at (2a , 4a...

    Text Solution

    |

  14. alpha and beta are the angles made by two tangents to the parabola y^(...

    Text Solution

    |

  15. The normals from (P,0) are drawn to the parabola y^(2) = 8x, one of th...

    Text Solution

    |

  16. Show that the locus of point of intersection of perpendicular tangents...

    Text Solution

    |

  17. Show that the equation of the common tangent to the circle x^(2) + y^(...

    Text Solution

    |

  18. The locus of the foot of the perpendicular from the focus to the tange...

    Text Solution

    |

  19. Show that straight line 7x+6y=13 is a tangent to the parabola y^(2)-7x...

    Text Solution

    |

  20. Find the condition for the line y=mx+c to be a tangent to the parabola...

    Text Solution

    |