Home
Class 12
MATHS
The focal chord of y^(2)=16x is tangent ...

The focal chord of `y^(2)=16x` is tangent to `(x-6)^(2)+y^(2)=2` then the possible values of the slope of this chord are

A

1,-1

B

`-(1)/(2), 2`

C

`-2, (1)/(2)`

D

`(1)/(2), 1`

Text Solution

Verified by Experts

The correct Answer is:
A
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

If y=m x+4 is a tangent to y^(2)=6 x, then m=

If y=2 x+c is a tangent to the parabola y^(2)=16 x then c=

If y=x+c is a tangent to the ellipse 9 x^(2)+16 y^(2)=144 , then c =

The common chord of x^(2)+y^(2)=16 and x^(2)+y^(2)-4 x-4 y=0 subtends at the origin an angle equal to

If a focal chord of the parabola y^(2)=a x is 2 x-y-8=0 then the equation of the directrix is

The length of the focal chord drawn to y^(2)=8 x , through the point whose parametric value is 2 is

The equation of the common tangent to y^(2)=2 x and x^(2)=16 y is

If PSQ is a focal chord of the ellipse 16x^(2)+25y^(2)=400 such that SP=16, then the length SQ is

If m is the slope of the tangent to the curve, e^(y) =1 +x^(2) , then,

If x = 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the equation of the corresponding pair of tangents is :

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

    Text Solution

    |

  2. The locus of the mid point of the line segment joining the focus to a...

    Text Solution

    |

  3. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2 then the...

    Text Solution

    |

  4. Angle between tangents drawn from the point (1,4) to the parabola y^...

    Text Solution

    |

  5. If x+y=k is normal to y^(2)=12x, then k is :

    Text Solution

    |

  6. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

    Text Solution

    |

  7. The equation of the common tangent to the curves y^2=8x and xy =-1 is ...

    Text Solution

    |

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

    Text Solution

    |

  9. A tangent is drawn to the parabola y=x^(2)+6 at the point (1,7) whi...

    Text Solution

    |

  10. The equation of the common tangents other than the x -axis to the para...

    Text Solution

    |

  11. If x+y+1=0 touches the parabola y^(2)=lambda x then lambda=

    Text Solution

    |

  12. The equation of the chord of parabola y^(2)=8 x which is bisected at t...

    Text Solution

    |

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

    Text Solution

    |

  14. If a focal chord of the parabola y^(2)=a x is 2 x-y-8=0 then the equat...

    Text Solution

    |

  15. The line x+y=1 is a tangent to the parabola y^(2)-y+x=0, at

    Text Solution

    |

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

    Text Solution

    |

  17. The equation of the parabola with focus (0,3) and the directrix y+3=0 ...

    Text Solution

    |

  18. The vertex of the parabola y^(2)=4(a^(prime)-a)(x-a) is

    Text Solution

    |

  19. If the parabola y^(2)-4ax passes through the point (3,2) then the len...

    Text Solution

    |

  20. The equation of the normal to the parabola y^(2)=8 x having slope 1 is

    Text Solution

    |