Home
Class 12
MATHS
Find the angle which the common chord of...

Find the angle which the common chord of `x^2+y^2-4x-4y=0` and `x^2+y^2=16` subtends at the origin.

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

  • CIRCLES

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-1|90 Videos
  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

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

Find the angle of intersection of curve x^2+y^2-4x-1=0 and x^2+y^2-2y-9=0

(A) Number of values of a for which the common chord of the circles x^2+y^2=8 and (x-a)^2+y^2=8 subtends a right angle at the origin is

Number of values of a for which the common chord of the circles x^2+y^2=8 and (x-a)^2+y^2=8 subtends a right angle at the origin is

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

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

The equation of the circle described on the common chord of the circles x^2 +y^2- 4x +5=0 and x^2 + y^2 + 8y + 7 = 0 as a diameter, is

Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-by=0 which subtend a right angle at the point (a/2 ,b/2)dot is

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.

If the common chord of the circles x^(2) + ( y -lambda)^(2) =16 and x^(2) +y^(2) =16 subtend a right angle at the origin then ' lambda' is equal to :

VMC MODULES ENGLISH-CIRCLES-LEVEL-2
  1. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

    Text Solution

    |

  2. Statmenet 1: The point of intesection of the common chords of three c...

    Text Solution

    |

  3. Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=1...

    Text Solution

    |

  4. If two circles and a(x^2 +y^2)+bx + cy =0 and p(x^2+y^2)+qx+ry= 0 touc...

    Text Solution

    |

  5. The loucs of the centre of the circle which cuts orthogonally the circ...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. If the circles of same radius a and centers at (2, 3) and 5, 6) cut or...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. A ray of light incident at the point (-2, -1) gets reflected from the ...

    Text Solution

    |

  11. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

    Text Solution

    |

  12. alpha,betaandgamma aer parametric angles of three points P,Q and R res...

    Text Solution

    |

  13. If the equation x cos theta + y sin theta = prepresents the equation ...

    Text Solution

    |

  14. A line meets the coordinate axes at A and B . A circle is circumscribe...

    Text Solution

    |

  15. Equation of the circle of radius sqrt(2), and touching the line |x-1| ...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. The four point of intersection of the lines ( 2x -y +1) ( x- 2y +3) =...

    Text Solution

    |

  18. The lengths of the tangents from any point on the circle 15x^(2)+15y^(...

    Text Solution

    |

  19. A chord AB of circle x^(2) +y^(2) =a^(2) touches the circle x^(2) +y^(...

    Text Solution

    |

  20. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |