Home
Class 12
MATHS
Give two circles intersecting orthogonal...

Give two circles intersecting orthogonally having the length of common chord `24//5` units. The radius of one of the circles is 3 units.
The angle between direct common tangents is

A

`(4)/(5)`

B

`(4sqrt6)/(25)`

C

`(12)/(25)`

D

`(24)/(25)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

Given two circles intersecting orthogonally having the length of common chord (24)/(5) unit. The radius of one of the circles is 3 units. If length of direct common tangent is lamda units, then lamda^(2) is

The circles having radii r1 and r2 intersect orthogonally Length of their common chord is

The circles having radii r_(1) andr _(2) intersect orthogonally.The length of their common chord is

If two circles each of unit radius intersect orthogonally,the common area of the circles is

The distance between two parallel chords each of length 10units is 24units. Then the radius of the circle

Circles of radii 3 and 4 intersect orthogonally The area common to the two circles is

Two intersecting circles have a common tangent or not?

ARIHANT MATHS-CIRCLE -Exercise (Passage Based Questions)
  1. Consider the circle S: x^2 + y^2 - 4x-1=0 and the line L: y = 3x - 1. ...

    Text Solution

    |

  2. Consider the circle S: x^2 + y^2 - 4x-1=0 and the line L: y = 3x - 1. ...

    Text Solution

    |

  3. P is a variable point of the line L = 0. Tangents are drawn to the cir...

    Text Solution

    |

  4. P is a variable point on the line L=0. Tangents are drawn to the circl...

    Text Solution

    |

  5. P is a variable point on the line L=0. Tangents are drawn to the circl...

    Text Solution

    |

  6. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

    Text Solution

    |

  7. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

    Text Solution

    |

  8. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

    Text Solution

    |

  9. Give two circles intersecting orthogonally having the length of common...

    Text Solution

    |

  10. Give two circles intersecting orthogonally having the length of common...

    Text Solution

    |

  11. Given two circles intersecting orthogonally having the length of commo...

    Text Solution

    |

  12. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

    Text Solution

    |

  13. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

    Text Solution

    |

  14. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

    Text Solution

    |

  15. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

    Text Solution

    |

  16. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

    Text Solution

    |

  17. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

    Text Solution

    |

  18. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

    Text Solution

    |

  19. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

    Text Solution

    |

  20. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

    Text Solution

    |