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

`x=pm(y+2 a)`

B

`y=pm(x+2 a)`

C

`x=pm(y+a)`

D

`x=pm(y+a)`

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

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 equation of the line which is a tangent to both the circle x^(2)+y...

    Text Solution

    |

  2. The directrix of the parabola x^(2)-4x-8y+12=0

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

    Text Solution

    |

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

    Text Solution

    |

  6. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

    Text Solution

    |

  7. A point an the parabola y^(2)=18x at which the ordinate increases at t...

    Text Solution

    |

  8. If a ne 0 and the line 2bx+3cy+4d=0 passes through the points of inter...

    Text Solution

    |

  9. Let p be the point (1,0) and Q a point on the locurs y^(2)=8x the locu...

    Text Solution

    |

  10. The locus of the vertices of the family of parabolas y=(a^(3)x^(2))/(3...

    Text Solution

    |

  11. The slopes of the normal to the parabola y^(2)=4ax intersecting at ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |