Home
Class 12
MATHS
The locus of poles of tangents to the ci...

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

A

`y^(2)=4ac`

B

`y^(2)=2ax`

C

`y^(2)+2ax=0`

D

`y^(2)+4ax=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1D(Angle Between Circles)|49 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2(Special Type Questions)|5 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B(Circle-Line)|142 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

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

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 .

The pole of a straight line with respect to the circle x^(2)+y^(2)=a^(2) lies on the circle x^(2)+y^(2)=9a^(2) . If the straight line touches the circle x^(2)+y^(2)=r^(2) , then

If the pole of a line w.r.t to the circle x^(2)+y^(2)=a^(2) lies on the circle x^(2)+y^(2)=a^(4) then the line touches the circle

The polar of (2,3) w.r.t the circle x^(2)+y^(2)-4x-6y+2=0 is

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
  1. The polars of any two points A and B wrt a circle, centre O meet at P....

    Text Solution

    |

  2. If polar of P w.r.t. S=0 touch the circle x^(2)+y^(2)=a^(2), the locus...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If the polars of points on the circle x^2+y^2=a^2 w.r.t. the circle x^...

    Text Solution

    |

  6. Polar of the origin w.r.t. the circle x^2+y^2+2ax+2by+c=0 touches the...

    Text Solution

    |

  7. A tangent at a point on the circle x^(2)+y^(2)=a^(2) intersects a conc...

    Text Solution

    |

  8. The pole of a straight line with respect to the circle x^(2)+y^(2)=a^(...

    Text Solution

    |

  9. The locus of the point, the chord of contact of which wrt the circle x...

    Text Solution

    |

  10. The locus of the point, whose chord of contact w.r.t the circle x^(2)...

    Text Solution

    |

  11. The condition that the chord of contact of the point (b,c) w.r.t. to t...

    Text Solution

    |

  12. If the pole of the line with respect to the circle x^(2)+y^(2)=c^(2) l...

    Text Solution

    |

  13. A point P is taken on the circle x^(2)+y^(2)=a^(2) and PN, PM are draw...

    Text Solution

    |

  14. If the pole of a line w.r.t to the circle x^(2)+y^(2)=a^(2) lies on th...

    Text Solution

    |

  15. The area of the triangle formed by the tangents from (1,3) to the circ...

    Text Solution

    |

  16. The locus of the poles of the line ax+by+c=0 w.r.t a system of circles...

    Text Solution

    |

  17. The locus of the poles of the line 2x+3y-4=0 w.r.t. the circle x^(2)+y...

    Text Solution

    |

  18. The inverse point of (1,-1) with respect to the circle x^(2)+y^(2)=4, ...

    Text Solution

    |

  19. The inverse point of origin w.r.t. the circle x^(2)+y^(2)+2gx+2fy+c=0 ...

    Text Solution

    |

  20. The inverse point of (1,2) origin w.r.t. the circle x^(2)+y^(2)-4x-6y+...

    Text Solution

    |