Home
Class 12
MATHS
Two tangents are drawn from the point (h...

Two tangents are drawn from the point `(h, k)` to the parabola `y^(2)=4 x,` such that the slope of one tangent is twice the other, then

A

`9 k=2 h^(2)`

B

`9 h=2 k^(2)`

C

`2 h=9 k^(2)`

D

`h=k`

Text Solution

Verified by Experts

The correct Answer is:
B
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

Angle between tangents drawn from the point (1,4) to the parabola y^(2)=4x is

Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4 x . If alpha is the angle between these tangents, then tan alpha=

The angle between the two tangents drawn from the point (1,4) to the parabola y^(2)=12 x is

If two tangents drawn from a point p to the parabola y^(2)=4x are at right angles then the locus of p is

The number of tangents that can be drawn from (3,2) to the parabola y^(2)=4 x are

The tangents from the point (-2,5) to the parabola y^(2)=8 x are inclined at an angle

Find the angle between the tangents drawn from the origin to the parabolas y^2=4a(x-a)

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

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

The number of tangents, which can be drawn from the point (1, 2) to the circle x^2 + y^2 = 5 is :

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. t(1) and t(2) are the parameters of the end-points f a focal chord of ...

    Text Solution

    |

  2. The length of the perpendicular from the focus of the parabola y^(2)=8...

    Text Solution

    |

  3. Two tangents are drawn from the point (h, k) to the parabola y^(2)=4 x...

    Text Solution

    |

  4. The length of the focal chord drawn to y^(2)=8 x, through the point wh...

    Text Solution

    |

  5. The vertex of the parabola (y-2)^(2) = 16(x-1) is

    Text Solution

    |

  6. Axis of the parabola x^(2)-4 x-4 y+10=0 is

    Text Solution

    |

  7. The equation of the tangent to the parabola y^(2)=8 x making an angle ...

    Text Solution

    |

  8. The equation of the tangent to the parabola y^(2)=4 x+5 parallel to th...

    Text Solution

    |

  9. The equation of the tangent to the parabola (y-2)^(2)=8(x+1), which is...

    Text Solution

    |

  10. If the focus of a parabola divides a focal chord of the parabola in s...

    Text Solution

    |

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

    Text Solution

    |

  12. Length of focal of the parabola y^(2)=4ax making an angle alpha with t...

    Text Solution

    |

  13. The axis of the parabola 9 y^(2)-16 x-12 y-57=0 is

    Text Solution

    |

  14. Consider the equation of the parabola y^(2)+4ax=0 where a gt0 which o...

    Text Solution

    |

  15. If x+y=k is a normal to the parabola y^(2)=12x then it touches the par...

    Text Solution

    |

  16. Range of values of k for which the point (k-1) is exteriro to both ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |