Home
Class 12
MATHS
If radii of two circles are 4 and 3 and ...

If radii of two circles are 4 and 3 and distance between centres is `sqrt37`, then angle between the circles is

A

`30^@`

B

`45^@`

C

`60^@`

D

`90^@`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise-II (Class work)|45 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Practice Exercise|36 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Additional Exercise|18 Videos
  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos
  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

If radii are 2, sqrt2 and distance between centres is sqrt2 then the angle between the circles is

Two circles touch internally. The sum of their areas is 116 pi cm^2 and distance between their centres is 6 cm. Find the radii of the circles.

Two circles touch internally. The sum of their areas is 125 pi cm^2 and distance between their centres is 5 cm. Find the radii of the circles.

The length of the tangents to frome a point A to a circle of radius 3 cm is 4 cm then the distance between A and the centre to the circle is …..

The angle made at the centre of a circle is …….

From a point P, the length of the tangent to a circle is 12 cm, and the distance of P from the centre is 13 cm. The radius of the circle is

If the radii of two concentric circles are 5 cm and 13 cm then the length of the chord of one circle which is tangent to the other circle is …..

Two circles of radii 7 cm and 4 cm touch each other externally. Then the distance between their centres.

Two circles of radii 5 cm and 3 cm touch each other internally. Then the distance between their centres.

If the distance between two points (5,2) (3,a) is sqrt8 units then a

AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-I (Class work)
  1. If radii of two circles are 4 and 3 and distance between centres is sq...

    Text Solution

    |

  2. The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0...

    Text Solution

    |

  3. The angle between two circles , each passing through the centre of the...

    Text Solution

    |

  4. The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0...

    Text Solution

    |

  5. If the circles of same radii and with centres (2,3),(5,6) cut orthogon...

    Text Solution

    |

  6. The circle with centres (2,3) and intersecting x^2+y^2-4x+2y-7=0 ortho...

    Text Solution

    |

  7. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect orthog...

    Text Solution

    |

  8. The locus of centres of the circles which cut the circles x^2+y^2+4x-6...

    Text Solution

    |

  9. The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally t...

    Text Solution

    |

  10. The equation of the radical axis of the pair of circles 7x^2+7y^2-7x+1...

    Text Solution

    |

  11. The common tangent at the point of contact of the two circles x^2+y^2...

    Text Solution

    |

  12. The distance from origin to the radical axis of the circles x^2+y^2-3x...

    Text Solution

    |

  13. Area of the triangle formed by the radical axis of the circles x^2+y^2...

    Text Solution

    |

  14. The circle orthogonal to the three circles x^2+y^2+ai x +bi y+c=0, (i=...

    Text Solution

    |

  15. The equation of the circle which cuts the three circles x^2+y^2-4x-6y+...

    Text Solution

    |

  16. The length of the common chord of two circles of radii r1 and r2 which...

    Text Solution

    |

  17. The length of the common chord of the circles of radii 15 and 20 whos...

    Text Solution

    |

  18. The length of the common chord of x^2+y^2+2hx=0 , x^2+y^2-2ky=0 is

    Text Solution

    |

  19. The equation of the circle passing through (1,2) and the points of int...

    Text Solution

    |

  20. The length of the common chord of the two circles (x-a)^2+y^2=a^2 and ...

    Text Solution

    |