Home
Class 12
MATHS
The point (3,-4) lies on both the circle...

The point (3,-4) lies on both the circles ` x^(2) + y^(2) - 2x + 8y + 13 = 0 ` and ` x^(2) + y^(2) - 4x+ 6y + 11 = 0 ` . Then the angle between the circles is :

A

`60^(@)`

B

`Tan^(-1) (1//2)`

C

`Tan^(-1)(3//5)`

D

`135^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -1)|9 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -2)|1 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos

  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If the circles x^(2) + y^(2) - 6x - 8y + 12 = 0 , x^(2) + y^(2) - 4x + 6y + k = 0 cut orthogonally, then k =

The length of common chord of the circles x^2 + y^2 - 6x - 4y + 13 - c^2 = 0 and x^2 + y^2 -4x - 6y + 13 -c^2 = 0 is

The distanc of the point (1,-2) from the common chord of the circles x^(2) + y^(2) - 5x + 4y - 2 = 0 " and " x^(2) + y^(2) - 2x + 8y + 3 = 0

The distance of the point (1,-2) from the common chord of the circles x^(2) + y^(2) - 5x +4y - 2= 0 " and " x^(2) +y^(2) - 2x + 8y + 3 = 0

The point (-1,0) lies on the circle x^2+y^2-4x+ 8y + k=0 . The radius of the circle is

If the point (2,k ) lies outside the circles x^(2) +y^(2) =13 and x^(2) +y^(2) +x-2y -14=0 then

DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The angle at which the circles x^(2) + y^(2) + 8x - 2y - 9 = 0 , x^(2)...

    Text Solution

    |

  2. The point (3,-4) lies on both the circles x^(2) + y^(2) - 2x + 8y + 1...

    Text Solution

    |

  3. If the angle between the circlex x^(2) + y^(2) - 2x - 4y + c = 0 and x...

    Text Solution

    |

  4. If the circles x^(2) + y^(2) - 6x - 8y + 12 = 0 , x^(2) + y^(2) - 4x ...

    Text Solution

    |

  5. If x^(2) + y^(2) - 2x + 3y + k = 0 " and " x^(2) + y^(2) + 8x - 6y =...

    Text Solution

    |

  6. If the circle x^(2) + y^(2) + 2x - 2y + 4 = 0 cuts the circle x^(2) +...

    Text Solution

    |

  7. If the circle x^(2) + y^(2) + 8x - 4y + c = 0 touches the circle x^...

    Text Solution

    |

  8. If the circles x^(2) + y^(2) - 2lambda x - 2y - 7 = 0 and 3(x^(2) + y^...

    Text Solution

    |

  9. The circles (x + a)^(2) + (y + b)^(2) = a^(2), (x + alpha)^(2) + (y +...

    Text Solution

    |

  10. If the circles of same radius a and centres (2,3), (5,6) cut orthogona...

    Text Solution

    |

  11. If the circles of same radius a and centre (2, - 3), (-4, 5) cut ortho...

    Text Solution

    |

  12. Find the equation of the circle which cuts orthogonally the circle x^2...

    Text Solution

    |

  13. If a circle passes through the point (a,b) and cuts the circle x^(2) ...

    Text Solution

    |

  14. The equation of the circle passing through (0,0) and cutting orthogona...

    Text Solution

    |

  15. The equation of the circle which passes the origin and cuts orthogonal...

    Text Solution

    |

  16. The equation of the circle cutting orthogonally the circles x^(2) + ...

    Text Solution

    |

  17. Find the equation of the circle which is orthogonal to each of the fol...

    Text Solution

    |

  18. The equation of the circle which cuts orthogonally the three circles ...

    Text Solution

    |

  19. A circle S cuts three circles x^(2) + y^(2) - 4x - 2y + 4 = 0 , x^(2...

    Text Solution

    |

  20. The equation of the circle which cuts orthogonally the three circles ...

    Text Solution

    |