Home
Class 12
MATHS
Show that the poles of the tangents to ...

Show that the poles of the tangents to
the circle `x^(2)+y^(2) = a^(2)` with respect
to the circle `(x+a)^(2)+y^(2)=2a^(2)` lie on
`y^(2) +4ax =0` .

Text Solution

Verified by Experts

The correct Answer is:
The poles of the tangents to circle (1) w.r.to
circle (2) lie on the curve `y^(2) + 4ax = 0`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(a)|66 Videos

  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(b)|15 Videos

  • BINOMIAL THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TETUAL EXERCISES (EXERCISE - 6(c)) I.|15 Videos

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise LAQ|1 Videos

Similar Questions

Explore conceptually related problems

The locus of poles of tangents to the circle x^(2)+y^(2)=a^(2) w.r.t the circle x^(2)+y^(2)+2ax-a^(2)=0 is

The locus of poles of tangents to the circle (x-p)^(2)+y^(2)=b^(2) w.r.t. the circle x^(2)+y^(2)=a^(2) is

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is

The number of common tangents to the circles x^(2)+y^(2)=0, x^(2)+y^(2)+x=0 is

The tangent to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 then k=

The length of the tangent from (0,0) to the circle 2x^(2)+2y^2+x-y+5=0 is

The common tangents to the circles x^(2)+y^(2)-6x=0, x^(2)+y^(2)+2x=0 from

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(e)
  1. Show that the poles of the tangents to the circle x^(2)+y^(2) = a^(2...

    Text Solution

    |

  2. Discuss the relative position of the fol- lowing pair of circles. ...

    Text Solution

    |

  3. Discuss the relative position of the fol- lowing pair of circles. ...

    Text Solution

    |

  4. Discuss the relative position of the fol- lowing pair of circles. ...

    Text Solution

    |

  5. Discuss the relative position of the fol- lowing pair of circles. ...

    Text Solution

    |

  6. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  7. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  8. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  9. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  10. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  11. Find the internal centre of similitude for the circles x^(2) + y^(2)...

    Text Solution

    |

  12. Find the external centre of similitude for the circles x^(2) + y^(2...

    Text Solution

    |

  13. Show that the circle x^(2) +y^2) - 6x -2y + 1 = 0, x^(2) + y^(2)...

    Text Solution

    |

  14. Show thet x^(2) + y^(2) - 6x - 9y + 13 = 0 , x^(2) + y^(2) - 2x - 1...

    Text Solution

    |

  15. Find the equation of the circle which touches the circle x^(2) + y^(...

    Text Solution

    |

  16. Find the direct common tangents of the circles. x^(2) + y^(2) + 2...

    Text Solution

    |

  17. Find the transverse common tangents of the circles x^(2) + y^(2) -4...

    Text Solution

    |

  18. Find the pair of tangents from (4, 10) to the circle x^(2) + y^(2) =...

    Text Solution

    |

  19. Find the pair of tangents drawn from (0,0) to x^(2) + y^(2) + 10x + ...

    Text Solution

    |

  20. Find thhe equation of the circle which touches x^(2) + y^(2) - 4x +6...

    Text Solution

    |

  21. Find all common tangents of the following pairs of circles. x^(2) ...

    Text Solution

    |