Home
Class 11
MATHS
The common chord of x^2+y^2-4x-4y=0 and ...

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

A

`pi/6`

B

`pi/4`

C

`pi/3`

D

`pi/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

The common chord of the circles x^(2)+y^(2)-4x-4y=0and2x^(2)+2y^(2)=32 subtends at the origin an angle equal to

Statement 1 : The equations of the straight lines joining the origin to the points of intersection of x^2+y^2-4x-2y=4 and x^2+y^2-2x-4y-4=0 is x-y=0 Statement 2 : y+x=0 is the common chord of x^2+y^2-4x-2y=4 and x^2+y^2-2x-4y-4=0 (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Let S be the focus of the parabola y^2=8x and let PQ be the common chord of the circle x^2+y^2-2x-4y=0 and the given parabola. The area of the triangle PQS is -

The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 I intersect at the points A and B. Equation of a common tangent with positive slope to the circle as well as to the hyperbola is (A) 2x-sqrt5y-20=0 (B) 2x-sqrt5y+4=0 (C) 3x-4y+8=0 (D) 4x-3y+4=0

The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0 at the origin intersect at an angle theta equal to (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

If the length of the common chord of circle x^2+y^2=4 and y^2=4(x-h) is maximum, then find the value of h .

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

The locus of the midpoint of a chord of the circle x^2+y^2=4 which subtends a right angle at the origins is (a) x+y=2 (b) x^2+y^2=1 x^2+y^2=2 (d) x+y=1

The locus of the midpoints of chords of the circle x^(2) + y^(2) = 1 which subtends a right angle at the origin is

Find the locus of the mid point of the chord of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0).

PATHFINDER-CIRCLE-QUESTION BANK
  1. The greatest distance of the point P (10,7) from the circle x^2+y^2-4x...

    Text Solution

    |

  2. The length of the chord cut off by y=2x+1 from the circle x^2+y^2=2 is

    Text Solution

    |

  3. The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...

    Text Solution

    |

  4. If the line hx+ky=1 touches x^2+y^2=a^2 , then the locus of the point ...

    Text Solution

    |

  5. The number of tangents that can be drawn from the point (8,6) to the c...

    Text Solution

    |

  6. If the point (k+1,k) lies inside the region bound by the curve x=sqrt(...

    Text Solution

    |

  7. The tangents drawn from the origin x^2+y^2+2gx+2fy+f^2=0 are perpendic...

    Text Solution

    |

  8. Two circles with radii a and b touch each other externally such that t...

    Text Solution

    |

  9. If (a,0) is a point on a diameter of the circle x^2+y^2=4, then x^2-4x...

    Text Solution

    |

  10. If (alpha ,beta) is a point on the circle whose centre is on the x-axi...

    Text Solution

    |

  11. Three concentrict circles of which the biggest is x^2+y^2=1 , have the...

    Text Solution

    |

  12. A circle of constant radius 'r' passes through origin O and cuts the a...

    Text Solution

    |

  13. For each natural number k, let Ck denotes the circle with radius k uni...

    Text Solution

    |

  14. For each natural number k, let Ck denotes the circle with radius k uni...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Match List - I with List-II

    Text Solution

    |

  18. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |

  19. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

    Text Solution

    |

  20. Radius of a circle cuts the x-axis at two points at distance 4 units f...

    Text Solution

    |