Home
Class 12
MATHS
The focus of the parabola y=2 x^(2)+x is...

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

A

(0,0)

B

`((1)/(2), (1)/(4))`

C

`(-(1)/(4), 0)`

D

`(-(1)/(4), (1)/(8))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos

Similar Questions

Explore conceptually related problems

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

Focus of the parabola y^(2)=16 x is at

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

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

The focus of the parabola y^(2)-4 y-8 x+4=0 is

The equation of a line drawn through the focus of the parabola y^(2)=-4 x at an angle of 120^(circ) to the x-axis is

The length of the perpendicular from the focus of the parabola y^(2)=8 x onto the tangent at (2,-4) is

Focus of the parabola (y-2)^(2)=20(x+3) is

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. A triangle formed by the tangents to the parabola y^(2)=4 a x at the e...

    Text Solution

    |

  2. If b and c are the length of the segments of any focal chord of a para...

    Text Solution

    |

  3. The focus of the parabola y=2 x^(2)+x is

    Text Solution

    |

  4. The tangents from the origin to the parabola y^(2)=4(x-1) are inclined...

    Text Solution

    |

  5. The tangents from the point (-2,5) to the parabola y^(2)=8 x are incli...

    Text Solution

    |

  6. Given the ends of latus rectum, the number of parabolas that can be dr...

    Text Solution

    |

  7. The equation of the lines joining the vertex of the parabola y^(2) =6x...

    Text Solution

    |

  8. The area of the triangle formed by the lines joining the vertex of the...

    Text Solution

    |

  9. If the focus of a parabola is (0,-3) and its directrix is y =3 then it...

    Text Solution

    |

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

    Text Solution

    |

  11. The equation of the tangent to the parabola y^(2)=16 x at (1,4) is

    Text Solution

    |

  12. t(1) and t(2) are the parameters of the end-points f a focal chord of ...

    Text Solution

    |

  13. The vertex of the parabola y^(2)=x+4y+3 is

    Text Solution

    |

  14. The equation of the parabola with focus (2,0) and directirix x + 3 = 0...

    Text Solution

    |

  15. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

    Text Solution

    |

  16. The focus of the parabola y^(2)-4 y-8 x+4=0 is

    Text Solution

    |

  17. The tangents at the points (a t(1)^(2), 2 a t(1)), (a t(2)^(2), 2 a t(...

    Text Solution

    |

  18. Focus of the parabola y^(2)-8 x-32=0 is at

    Text Solution

    |

  19. The directrix of the parabola y^(2)=16 x is

    Text Solution

    |

  20. The vertex of the parabola y^(2)=5 x+4 y+1 is

    Text Solution

    |