Home
Class 12
MATHS
If (-1/3,-1) is a centre of similitude f...

If `(-1/3,-1)` is a centre of similitude for the circles `x^2+y^2=1` and `x^2+y^2-2x-6y-6=0`, then the length of common tangent of the circles is

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Exercise|132 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

If P(1, 1//2) is a centre of similitude for the circles x^(2)+y^(2)+4x+2y-4=0 and x^(2)+y^(2)-4x-2y+4=0 , then the length of the common tangent through P to the circles, is

Consider the circles x^(2) + y^(2) = 1 & x^(2) + y^(2) – 2x – 6y + 6 = 0 . Then equation of a common tangent to the two circles is

The internal centre of similitude of the two circles x^(2)+y^(2)+6x-2y+1=0 , x^(2)+y^(2)-2x-6y+9=0 is

Find all the common tangent to the circles x^(2)+y^(2)-2x-6y+9=0 and x^(2)+y^(2)+6x-2y+1=0. Find the length of the direct common tangent and indirect common tangent.

If one of the diameters of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord to the circle with center (2,1) ,then the radius of the circle is

A common tangent to the circles x^(2)+y^(2)=4 and (x-3)^(2)+y^(2)=1 , is

If the circle x^(2)+y^(2)-2x-2y-1=0 bisects the circumference of the circle x^(2)+y^(2)=1 then the length of the common chord of the circles is

If one of the diameters of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord to the circle with centre (2,1), then the radius of circle 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

OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  2. Show that the four points of intersection of the lines : (2x-y + 1) (x...

    Text Solution

    |

  3. If 2x+3y-6=0 and 9x+6y-18=0 cuts the axes in concyclic points, then th...

    Text Solution

    |

  4. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

    Text Solution

    |

  5. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

    Text Solution

    |

  6. PQ is a chord of the circle x^(2)+y^(2)-2x-8=0 whose mid-point is (2, ...

    Text Solution

    |

  7. The number of circles belonging to the system of circles 2(x^(2)+y^(2)...

    Text Solution

    |

  8. The equation of the circle passing through (0, 0) and belonging to the...

    Text Solution

    |

  9. If (-1/3,-1) is a centre of similitude for the circles x^2+y^2=1 and x...

    Text Solution

    |

  10. If P(1, 1//2) is a centre of similitude for the circles x^(2)+y^(2)+4...

    Text Solution

    |

  11. Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for differe...

    Text Solution

    |

  12. x=1 is the radical axis of the two orthogonally intersecting circles....

    Text Solution

    |

  13. If the y=mx+1, of the circle x^2+y^2=1 subtends an angle of measure 45...

    Text Solution

    |

  14. The circles x^2 + y^2 + 6x + 6y = 0 and x^2 + y^2 - 12x - 12y = 0

    Text Solution

    |

  15. The equation of the pair of straight lines parallel to x-axis and touc...

    Text Solution

    |

  16. The equation of the circumcircle of the triangle formed by the lines x...

    Text Solution

    |

  17. The value of lambda for which the circle x^(2)+y^(2)+2lambdax+6y+1=0 i...

    Text Solution

    |

  18. The equation of the circle concentric to the circle 2x^(2)+2y^(2)-3x+6...

    Text Solution

    |

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

    Text Solution

    |

  20. The equation of the image of the circle (x-3)^(2)+(y-2)=1 in the mirro...

    Text Solution

    |