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=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

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

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

The common chord of x^(2)+y^(2)-4x-4y=0 and x^(2)+y^2=4^(2) subtends and angle alpha at the origin, then alpha equals

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

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

Length of common chord of the curve y^(2)-4x-4=0 " and "4x^(2)+9y^(2)=36 is

The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

    Text Solution

    |

  2. If the equation of a given circle is x^2+y^2=36 , then the length of t...

    Text Solution

    |

  3. Find the angle which the common chord of x^2+y^2-4x=0 and x^2+y^2=16 s...

    Text Solution

    |

  4. Show that the equation of the circle passing through (1, 1) and the ...

    Text Solution

    |

  5. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  6. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

    Text Solution

    |

  7. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  8. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  9. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

    Text Solution

    |

  10. The distance between the chords of contact of tangents to the circle x...

    Text Solution

    |

  11. The condition that the chord xcosalpha+ysinalpha=p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

  12. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

    Text Solution

    |

  13. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

    Text Solution

    |

  14. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

    Text Solution

    |

  17. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

    Text Solution

    |

  18. Find the equation of the circle whose radius is 5a n d which touches t...

    Text Solution

    |

  19. A B is a diameter of a circle and C is any point on the circle. ...

    Text Solution

    |

  20. The locus of the mid point of a chord of the circle x^2+y^2=4 which su...

    Text Solution

    |