Home
Class 12
MATHS
Equation of the common tangent touching ...

Equation of the common tangent touching the circle `(x-3)^(2)+y^(2)=9` and the parabola `y^(2)=4x` above the x axis is

A

`sqrt(3) y=3 x^(2)+1`

B

`sqrt(3) y=-(x+3)`

C

`sqrt(3) y=x+3`

D

`sqrt(3) y=-(3 x+1)`

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 equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) and the parabola y^(2)=8 a x is

The equation of the line which is tangent to both the circle x^(2)+y^(2)=50 and the parabola y^(2)=40 x is

Equation of the common tangent of a circle x^2+y^2=50 and the parabola y^2=40x can be

The equation of the line which is a tangent to both the circle x^(2)+y^(2)=5 and the parabola y^(2)=40 x is

The equation of the common tangent of the curves x^(2)+4y^(2)=8 and y^(2)=4x is :

Area common to the circle x^2+y^2=64 and the parabola y^2=12x is :

The equation of the common tangent to the parabolas y^(2)=4 x and x^(2)=4 y is

The equation of the common tangents to the parabolas y=x^(2) and y=-(x-2)^(2) are

Equation of the circle centered at (4,3) touching the circle x^(2)+y^(2)=1 externally, is

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The slopes of the normal to the parabola y^(2)=4ax intersecting at ...

    Text Solution

    |

  2. If the line x -1=0 is the directrix of the parabola y^(2)-kx+8=0 then...

    Text Solution

    |

  3. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |