Home
Class 12
MATHS
The common chord of x^2 + y^2 - 4x - 4y ...

The common chord of `x^2 + y^2 - 4x - 4y = 0` and `x^2 + y^2 = 16` substends at the origin an angle equal to

A

`pi/6`

B

`pi/4`

C

`pi/3`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

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

    AAKASH SERIES|Exercise EXERCISE -2.1|23 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise-I (Class work)|20 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

The common chord of x^(2) + y^(2) - 4x - 4y " and " x^(2) + y^(2) = 16 subtends at the origin an angle equal to

The chord through (1, -2) cuts the curve 3x^(2)-y^(2)-2x+4y=0 in P and Q. Then PQ subtends at the origin an angle of

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

If the angle between the circlex x^(2) + y^(2) - 2x - 4y + c = 0 and x^(2) + y^(2) - 4x - 2y + 4 = 0 is 60^(@) , then c is equal to

Find the locus of midpoint of chords of the circle x ^(2) + y ^(2) = r^(2) , substending a right angle at the point (a,b)

Show that the area of the triangle formed by the common chord of two circles S=x^2+y^2-2x+4y-11=0 and S'-=x^2+y^2+4x-6y+4=0 and the coordinate axes is 15/8 sq. units.

AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-II (Class work)
  1. If P and Q are the Points of intersection of the circles x^2 + y^2 + 3...

    Text Solution

    |

  2. From the point P(2, 3) tangents PA,PB are drawn to the circle x^2+y^2-...

    Text Solution

    |

  3. The common chord of x^2 + y^2 - 4x - 4y = 0 and x^2 + y^2 = 16 substen...

    Text Solution

    |

  4. x^2+y^2+2lambdax+5=0 and x^2+y^2+2lambday+5=0 are two circles. P is a ...

    Text Solution

    |

  5. The centres of the circles are (a, c) and (b, c) and their radical axi...

    Text Solution

    |

  6. (a,0) and (b, 0) are centres of two circles belonging to a co-axial sy...

    Text Solution

    |

  7. If the circles x^2 + y^2 + 2ax + cy + a =0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  8. The radical centre of the circles x^2+y^2-x+3y-3=0 , x^2+y^2-2x+2y-2=0...

    Text Solution

    |

  9. The centre of the circle orthogonal to the circles x^2+y^2+4y+1=0 , x^...

    Text Solution

    |

  10. The point from which the tangents to the circles x^2+y^2-8x+40=0, 5x^2...

    Text Solution

    |

  11. You are given n ( ge 3) circles having different radical axes and rad...

    Text Solution

    |

  12. If A, B, C are the centres of three circles touching mutually external...

    Text Solution

    |

  13. The radical centre of the three circles described on the three sides o...

    Text Solution

    |

  14. ABC is a triangle. The radical centre of the circles with AB, BC, CA a...

    Text Solution

    |

  15. A, B, C are the centres of three circles of equal radii which donot to...

    Text Solution

    |

  16. A,B,C are the centres of the three circles C1,C2,C3 such that C1,C2 ...

    Text Solution

    |

  17. The slope of the radical axis of the circles x^2+y^2+3x+4y-5=0 and x^2...

    Text Solution

    |

  18. The distance of the point (1,-2) from the common chord of the circles ...

    Text Solution

    |

  19. The length of the common chord of the circles x^(2) + y^(2) + 2x + ...

    Text Solution

    |

  20. The length of the common chord of the circles (x-6)^2+(y-4)^2=4, (x-4)...

    Text Solution

    |