Home
Class 12
MATHS
If from any point P on the circle x^2+y^...

If from any point `P` on the circle `x^2+y^2+2gx+2fy+c=0,` tangents are drawn to the circle `x^2+y^2+2gx+2fy+csin^2alpha+(g^2+f^2)cos^2alpha=0` , then find the angle between the tangents.

A

`alpha`

B

`2alpha`

C

`alpha//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos
  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If two tangents are drawn from a point to the circle x^(2) + y^(2) =32 to the circle x^(2) + y^(2) = 16 , then the angle between the tangents is

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 two tangents are drawn from a point on x^(2)+y^(2)=16 to the circle x^(2)+y^(2)=8 then the angle between the tangents is

Tangents are drawn from any point on the circle x^(2)+y^(2) = 41 to the ellipse (x^(2))/(25)+(y^(2))/(16) =1 then the angle between the two tangents is

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where OP=6sqrt2 then c=

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 =

The angle between a pair of tangents from a point P to the circe x^2 + y^2+ 4 x-6y + 9 sin^2 alpha + 13 cos^2 alpha =0 is 2alpha . Find the equation of the locus of the point P.

If the circle x^(2) +y^(2) + 2gx + 2fy + c = 0 bisects the circumference of the circle x^(2) +y^(2) + 2g'x + 2f'y + c' = 0 , them the length of the common chord of these two circles is

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. Two perpendicular tangents to the circle x^(2) + y^(2) =a^(2) meet at ...

    Text Solution

    |

  2. The equation of the tangents drawn from the origin to the circle x^(2)...

    Text Solution

    |

  3. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

    Text Solution

    |

  4. If the equation of a given circle is x^2+y^2=36 , then the length of t...

    Text Solution

    |

  5. Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=1...

    Text Solution

    |

  6. Show that the equation of the circle passing through (1, 1) and the ...

    Text Solution

    |

  7. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  8. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

  9. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  10. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  11. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

  14. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

    Text Solution

    |

  15. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

    Text Solution

    |

  16. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

    Text Solution

    |

  17. A line meets the coordinate axes at A and B . A circle is circumscribe...

    Text Solution

    |

  18. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

    Text Solution

    |

  19. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

    Text Solution

    |

  20. Find the equation of the circle whose radius is 5a n d which touches t...

    Text Solution

    |