Home
Class 11
MATHS
Write the distance between the vertex an...

Write the distance between the vertex and focus of the parabola `y^2+6y+2x+5=0.`

Text Solution

AI Generated Solution

To find the distance between the vertex and focus of the parabola given by the equation \(y^2 + 6y + 2x + 5 = 0\), we will follow these steps: ### Step 1: Rearrange the equation Start by rearranging the equation to isolate the \(x\) terms on one side. \[ y^2 + 6y = -2x - 5 \] ...
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT OF ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|56 Videos

  • PERMUTATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|287 Videos

Similar Questions

Explore conceptually related problems

Find the vertex and focus of the given parabola x^(2)+4y=0

The focus of the parabola y^(2) -8x-2y+2 = 0 is

The focus of the parabola y^(2)-4y -x + 3 =0 is

If V and S are respectively the vertex and focus of the parabola y^(2)+6y+2x+5=0 then SV= a.2 b.1/2c.1d .none of these

The focus of the parabola y^(2)-x-2y+2=0 is

RD SHARMA-PARABOLA-Solved Examples And Exercises
  1. The cable of a uniformly loaded suspension bridge hangs in the form...

    Text Solution

    |

  2. Write the axis of symmetry of the parabola y^2=xdot

    Text Solution

    |

  3. Write the distance between the vertex and focus of the parabola y^2+6y...

    Text Solution

    |

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

    Text Solution

    |

  5. Write the equation of the parabola with focus (0,0) and directrix x+y-...

    Text Solution

    |

  6. Write the length of the chord of the parabola y^2=4a x which passes th...

    Text Solution

    |

  7. If b\ a n d\ c are lengths of the segments of any focal chord of the p...

    Text Solution

    |

  8. PSQ is a focal chord of the parabola y^2=8xdotIf\ S P=6, then write SQ...

    Text Solution

    |

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

    Text Solution

    |

  10. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

    Text Solution

    |

  11. If the vertex of a parabola is the point (-3,0) and the directrix is t...

    Text Solution

    |

  12. The coordinates of the focus of the parabola y^2-x-2y+2=0 are a. (5/4...

    Text Solution

    |

  13. The vertex of the parabola (y+a)^2=8a(x-a) is a.(-a ,-a) b. (a ,-a) c....

    Text Solution

    |

  14. If the focus of a parabola is (-2,1) and the directrix has the equatio...

    Text Solution

    |

  15. The equation of the parabola whose vertex is (a ,0) and the directrix ...

    Text Solution

    |

  16. The parametric equations of a parabola are x=t^2+1, y=2t+1. The Cartes...

    Text Solution

    |

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

    Text Solution

    |

  18. The equation of the directrix of the parabola whose vertex and focus a...

    Text Solution

    |

  19. If V and S are respectively the vertex and focus of the parabola y^2+6...

    Text Solution

    |

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

    Text Solution

    |