Home
Class 12
MATHS
Focus of parabola y = ax^(2) + bx + c is...

Focus of parabola y = `ax^(2) + bx + c` is

A

`((-b)/(2a).(b^(2)-4ac+1)/(4a))`

B

`((-b)/(2a).(4ac-b^(2)+1)/(4a))`

C

`((-b)/(2a).(b^(2)-4ac-1)/(4a))`

D

`((b)/(2a).(b^(2)-4ac+1)/(4a))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • PARABOLA

    AAKASH SERIES|Exercise SOLVED EXAMPLES|77 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- I|57 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

The vertex and the focus of the parabola 2y^(2) + 5x - 6y + 1 =0 respectively

If the normal subtends a right angle at the focus of the parabola y^(2)=4ax then its length is

The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S is the focus of the parabola. If Delta SPG is equilateral then each side is of length.

A chord is drawn through the focus of the parabola y^(2) =6x such that its distance from the vertex of this parabola is (sqrt5)/(2) , then its slope can be

If a chord of lhe parabola y^(2) = 4ax touches the parabola y^(2) = 4bx , show that the tangents at its extremities meet on the parabola by^(2) = 4a^(2)x

AAKASH SERIES-PARABOLA-EXERCISE- II
  1. The focus of the parabola x^(2)-2x-8y-23=0 is

    Text Solution

    |

  2. Axis of the parabola x^(2)-3y-6x+6 = 0 is

    Text Solution

    |

  3. Focus of parabola y = ax^(2) + bx + c is

    Text Solution

    |

  4. The vertex of parabola whose focus is (2,1) and directrix is x - 2y + ...

    Text Solution

    |

  5. The focus and directrix of a parabola are (1, 2) and x + 2y + 9 = 0 th...

    Text Solution

    |

  6. The length of latusrectum x^(2) - 6x + 16y + 25 = 0 is

    Text Solution

    |

  7. I : The length of the latus rectum of the parabola y^(2)+8x-2y+17=0 i...

    Text Solution

    |

  8. The length of latus rectum of the parabola whose focus is ((u^(2))/(2g...

    Text Solution

    |

  9. The latusrectum of the parabola 13[(x-3)^(2)+(y-4)^(2) ]= (2x-3y+5)^(2...

    Text Solution

    |

  10. Vertex is (4, 3) and diretctrix is 3x+2y-7=0 then equation of latusrec...

    Text Solution

    |

  11. The parabola (y+1)^(2)=a(x-2) passes through point (1,-2). The equaito...

    Text Solution

    |

  12. lf L and L^(1) are ends or latusrectum of the parabola 9y^(2)= 4x then...

    Text Solution

    |

  13. The point (2a, a) lies inside the region bounded by the parabola x^(2)...

    Text Solution

    |

  14. The length or double ordinate of parabola ,y^(2) = 8x which subtends a...

    Text Solution

    |

  15. An equilateral triangle is inscribed in the parabola y^(2) = 8x with o...

    Text Solution

    |

  16. If an equilateral Delta is inscribed in a parabola y^(2) = 12x with on...

    Text Solution

    |

  17. The angle subtended by the double ordinate of length 8a of the parabol...

    Text Solution

    |

  18. PQ is a double ordinate of the parabola y^(2)+4x . The locus of its po...

    Text Solution

    |

  19. An arch is in the shape of a parabola whose axis is vertically downwor...

    Text Solution

    |

  20. The point or contact of the Une 2x-y+2 = 0 with the parabola y^(2)=16x...

    Text Solution

    |