Home
Class 12
MATHS
If the pole of a line w.r.t to the circl...

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

A

`x^(2)+y^(2)=2`

B

`x^(2)+y^(2)=1`

C

`x^(2)+y^(2)=3`

D

`x^(2)+y^(2)=4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

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 the line with respect to the circle x^(2)+y^(2)=c^(2) lies on the circle x^(2)+y^(2)=9c^(2) then the line is a tangent to the circle with centre origin is

If the polar of a point P w.r.t the circle x^(2)+y^(2)=a^(2) touches the parabola y^(2)=4ax then the locus of P 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 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

AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The straight line x-2y+5=0 intersects the circle x^(2)+y^(2)=25 in poi...

    Text Solution

    |

  2. The line 4x+4y-11=0 intersects the circle x^(2)+y^(2)-6x-4y+4=0 at A a...

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

  7. In DeltaABC the midpoints are D,E and F of the sides AB,BC and CA, the...

    Text Solution

    |

  8. If (1, a), (b, 2) are conjugate points with renpcet to the circle x^(2...

    Text Solution

    |

  9. If the lengths of the tangents from two points A, B to a circle are 4,...

    Text Solution

    |

  10. If A and B are conjugate points w.r.t to circle x^(2)+y^(2)=r^(2) then...

    Text Solution

    |

  11. Inverse of (0,0) w.r.t to circle x^(2)+y^(2)-4x-6y+3=0 is

    Text Solution

    |

  12. The midpoint of the chord 3x-y=10 w.r.t x^(2)+y^(2)=18 is

    Text Solution

    |

  13. The mixpoint of chord 2x+y-6=0 of circle x^(2)+y^(2)=9 is

    Text Solution

    |

  14. The length and the midpoint of the chord 4x-3y+5=0 w.r.t. the circle x...

    Text Solution

    |

  15. The pair of tangents from (2,1) to the circle x^(2)+y^(2)=1 is

    Text Solution

    |

  16. The midpoint of chord formed by the polar of (-9,2) w.r.t x^(2)+y^(2)=...

    Text Solution

    |

  17. If (3,-2) is the midpoint of the chord AB of the circle x^(2)+y^(2)-4x...

    Text Solution

    |

  18. Locus of midpoints of chords of circles x^(2)+y^(2)-4x-2y-4=0 which ar...

    Text Solution

    |

  19. From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1 then ...

    Text Solution

    |

  20. The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 whic...

    Text Solution

    |