Home
Class 12
MATHS
If C(1): x^(2)+y^(2) =(3+2sqrt(2))^(2) b...

If `C_(1): x^(2)+y^(2) =(3+2sqrt(2))^(2)` be a circle. PA and PB are pair of tangents on `C_(1)` where P is any point on the director circle of `C_(1)`, then the radius of the smallest circle which touches `C_(1)` externally and also the two tangents PA and PB is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Objective) Level -II|15 Videos
  • CIRCLE

    FIITJEE|Exercise COMPREHENSIONS|8 Videos
  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Subjective ) Level -II|13 Videos
  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos
  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If C_1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair of tangents on C_1, where P is any point on the director circle of C_1, then the radius of the smallest circle which touches c_1 externally and also the two tangents P A and P B is 2sqrt(3)-3 (b) 2sqrt(2)-1 2sqrt(2)-1 (d) 1

A circle C touches the x-axis and the circle x ^(2) + (y-1) ^(2) =1 externally, then locus of the centre of the circle C is given by

A circle is given by x^(2)+(y-1)^(2)=1 another circle C touches it externally and also the x -axis,then the locus of center is:

Let C_(1):x^(2)+y^(2)-2x=0 and C_(2):x^(2)+y^(2)-2x-1=0. If P is a point on C_(2) and PA and PB are the tangents to the circle C_(1) then angle between these two tangents is

PA and PB are two tangents drawn from an external point Pto a circle with centre C and radius =4cm If PA perp PB then length of each tangent is

In figure ,PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm .If Pabot PB ,then the length of each tangent is :

PA and PB are two tangents to a circle with centre O, from a point P outside the circle. A and B are points on the circle. If angleAPB =100^(@) , then OAB is equal to:

The centres of two circles C_(1) and C_(2) each of unit radius are at a distance of 6 unit from each other. Let P be the mid-point of the line segment joining the centres of C_(1) and C_(2) and C be a circle touching circles C_(1) and C_(2) externally. If a common tangent to C_(1) and C passing through P is also a common tangent to C_(2) and C, then the radius of the circle C, is

A circle x^(2)+y^(2)+4x-2sqrt(2)y+c=0 is the director circle of the circle S_(1) and S_(1) is the director circle of circle S_(2), and so on.If the sum of radii of all these circles is 2 ,then the value of c is k sqrt(2), where the value of k is

FIITJEE-CIRCLE-Assignment Problems (Objective) Level -I
  1. The equation of circle touching the line 2x+3y+1=0 at the point (1,-1)...

    Text Solution

    |

  2. The value of k for which two tangents can be drawn from (k,k) to the c...

    Text Solution

    |

  3. If C(1): x^(2)+y^(2) =(3+2sqrt(2))^(2) be a circle. PA and PB are pair...

    Text Solution

    |

  4. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

    Text Solution

    |

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

    Text Solution

    |

  6. The centre of circle inscribed in a square formed by lines x^2-8x+1...

    Text Solution

    |

  7. From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to t...

    Text Solution

    |

  8. The equation of the circumcircle of an equilateral triangle is x^2+y^2...

    Text Solution

    |

  9. Four distinct points (2K,3K),(1,0),(0,1) and (0,0) lie on circle when

    Text Solution

    |

  10. A line is drawn through a fixed point P(alpha, B) to cut the circle x...

    Text Solution

    |

  11. The line 4x+3y-4=0 divides the circumference of the circle centred at ...

    Text Solution

    |

  12. The maximum distance of the point (4,4) from the circle x^2+y2-2x-15=0...

    Text Solution

    |

  13. If the circle x^2+y^2+4x+22y+l=0 bisects the circumference of the circ...

    Text Solution

    |

  14. A, B C and D are the points of intersection with the coordinate axes o...

    Text Solution

    |

  15. If the length of the tangents from any point on the circle 15x^(2)+15y...

    Text Solution

    |

  16. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

    Text Solution

    |

  17. The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

    Text Solution

    |

  18. The centers of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  19. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  20. Equation of a circle S(x,y)=0 , (S(2,3)=16) which touches the line 3x+...

    Text Solution

    |