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

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

A

`y=pm (x+2 a)`

B

`y=pm (3 x-a)`

C

`y=pm (x-2 a)`

D

`y = pm (3 x+a)`

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

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

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

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

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

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

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

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

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

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The point on the parabola y^(2)=16 x where the tangent makes an angle ...

    Text Solution

    |

  2. The point of intersection of the tangents at the ends of the latus rec...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |