Home
Class 12
MATHS
A triangle formed by the tangents to the...

A triangle formed by the tangents to the parabola `y^(2)=4 a x` at the ends of the latus rectum and the double ordinate through the focus is

A

isosceles

B

equilateral

C

angled isosceles

D

dependent on ' `a` ' for its nature

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

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

The line x-2 y+4 a=0 is a tangent to the parabola y^(2)=4 a x at

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

Find the area of the parabola y^(2)=4ax bounded by its latus rectum.

Find the area of the parabola y^(2)=4ax bounded by its latus rectum.

The area of the triangle formed by the lines joining the vertex of the parabola x^(2)=12y to the ends of latus rectum is

If the parabola y^(2)=4 a x passes through (3,2) then the length of the latus rectum is

The area of the triangle formed by the linea joining the vertex of th parabola x^(2) = 12y to the ends of Latus rectum is

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. Range of values of k for which the point (k-1) is exteriro to both ...

    Text Solution

    |

  2. If P S P^(prime) is a focal chord of the parabola y^(2)=4 a x and S L ...

    Text Solution

    |

  3. A triangle formed by the tangents to the parabola y^(2)=4 a x at the e...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |