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

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

A

`alpha//2`

B

`alpha`

C

`2alpha`

D

`4alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
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 from any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to the circle x^(2)+y^(2)=b^(2), (a>b) then the angle between tangents is

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

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

The tangents PA and PB are drawn from any point P of the circle x^(2)+y^(2)=2a^(2) to the circle x^(2)+y^(2)=a^(2) . The chord of contact AB on extending meets again the first circle at the points A' and B'. The locus of the point of intersection of tangents at A' and B' may be given as

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

If tangents are drawn from origin to the circle x^(2)+y^(2)-2x-4y+4=0, then

FIITJEE-CIRCLE-Assignment Problems (Objective) Level -I
  1. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Equation of the straight line meeting the cirle with centre at origin ...

    Text Solution

    |

  19. If y=f(x)=ax+b is a tangent to circle x^2+y^2+2x+2y-2=0 then the value...

    Text Solution

    |

  20. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

    Text Solution

    |