Home
Class 12
MATHS
The equation of common tangents to the p...

The equation of common tangents to the parabola `y^(2)=8 x` and hyperbola `3 x^(2)-y^(2)=3` are

A

`2 x pm y+1=0`

B

`2 x pm y-2=0`

C

`x pm 2 y+4=0`

D

`x pm 2 y-3=0`

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

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

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

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

The common tangent to the parabolas y^(2)=8 x and x^(2)=8 y is

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

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 common tangent to the curves y^2=8x and xy =-1 is :

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

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

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

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The point of intersection of the tangents at the ends of the latus rec...

    Text Solution

    |

  2. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

    Text Solution

    |

  3. The equation of common tangents to the parabola y^(2)=8 x and hyperbol...

    Text Solution

    |

  4. The common tangent to the parabolas y^(2)=8 x and x^(2)=8 y is

    Text Solution

    |

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

    Text Solution

    |

  6. The locus of the midpoints of the chords which are drawn from the vert...

    Text Solution

    |

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

    Text Solution

    |

  8. The line y=m x+2 is a tangent to the parabola y^(2)=4 x, then m=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |