Home
Class 12
MATHS
From any point on the circle x^(2)+y^(2)...

From any point on the circle `x^(2)+y^(2)+2gx+2fy+c=0` tangents are drawn to the circle `x^(2)+y^(2)+2gx+2fy+c sin^(2) alpha +(g^(2)+f) cos^(2) alpha=0`. The angle between the tangents is

A

`alpha`

B

`2alpha`

C

`(pi)/2`

D

`0^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 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

From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to the circle x^(2)+y^(2)=a^(2) sin^(2) theta . The angle between them is

From any point on the circle x^(2)+y^(2)=a^(2) tangent are drawn to the circle x^(2)+y^(2)=a^(2)sin^(2)theta . The angle between them is

If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse (x^(2))/(16)+(y^(2))/(9) = 1 the angle between the tangents is

If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse x^(2)/16+y^(2)/9=1 then the angle between the tangents is

The condition that the circle x^(2) +y^(2) + 2gx+ 2fy + c = 0 to bisect the circumference of the circle x^(2) + y^(2) + 2g^(1)x + 2f^(1)y + c^(1) = 0 is

If the circle x^(2) + y^(2) + 2x - 2y + 4 = 0 cuts the circle x^(2) + y^(2) + 4x - 2fy + 2 = 0 orthogonally , then f =

AAKASH SERIES-CIRCLES-EXERCISE II
  1. The condition that the pair of tangents drawn from origin to circle ...

    Text Solution

    |

  2. If two tangents are drawn from a point on x^(2)+y^(2)=16 to the circle...

    Text Solution

    |

  3. From any point on the circle x^(2)+y^(2)+2gx+2fy+c=0 tangents are draw...

    Text Solution

    |

  4. Assertion (A): The director circle of x^(2)+y^(20=4 is x^(2)+y^(2)= ...

    Text Solution

    |

  5. The equation of the circle withcentre at (4,3) and touching the line 5...

    Text Solution

    |

  6. Numebr of circles touching all the lines x+y-1=0, x-y=1=0 and y+1=0 ar...

    Text Solution

    |

  7. The number of circles that touch all the straight lines x + y = 4, x -...

    Text Solution

    |

  8. The number of circles that touches all the three lines x+y-1=0, x-y-1=...

    Text Solution

    |

  9. The number of circles that touch all the 3 lines 2x+y=3, 4x-y=3, x+y=2...

    Text Solution

    |

  10. Number of circles touching all the lines x+4h+1=0, 2x+3y+3=0 and x-6y+...

    Text Solution

    |

  11. The line y=x is a tangent at (0,0) to a circle of radius is 1, then ce...

    Text Solution

    |

  12. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

    Text Solution

    |

  13. If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meet t...

    Text Solution

    |

  14. If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where O...

    Text Solution

    |

  15. The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y...

    Text Solution

    |

  16. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

    Text Solution

    |

  17. The locus of the points from which the lengths of the tangents to the ...

    Text Solution

    |

  18. The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coo...

    Text Solution

    |

  19. The tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta i...

    Text Solution

    |

  20. The locus of the middle points of portions of the tangents to the circ...

    Text Solution

    |