Home
Class 12
MATHS
The number of common tangtnts that can b...

The number of common tangtnts that can be drawn to the circleS `x^(2)+y^(2)=1` and `x^(2)+y^(2)-2 x-6 y+6=0` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

Find the number of common tangents that can be drawn to the circles x^2+y^2-4x-6y-3=0 and x^2+y^2+2x+2y+1=0

How many common tangents can be drawn to the following circles x^(2)+y^(2)=6 and x^(2)+y^(2)+6 x+2 y+1=0

The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2) +y^(2) - 6x - 8y -24 =0 is,

The number of common tangents to the circles x^(2)+y^(2)-y=0 and x^(2)+y^(2)+y=0 is

The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)+y^(2)+x=0 , is

Find the number of common tangents to the circles x^(2)+y^(2)-8x+2y+8=0andx^(2)+y^(2)-2x-6y-15=0 .

The radical axis of the circles x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(2)-10x-6y+14=0 is

The radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 x^(2)+y^(2)-5 x+5 y-6=0 is

The slope of the radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 and x^(2)+y^(2)-5 x+5 y-6=0 is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The number of circleS that touch all the lines x+y-4=0, x-y+2=0 and y...

    Text Solution

    |

  2. The slope m of a tangtnt through the point (7,1) to the circle x^(2)+...

    Text Solution

    |

  3. The number of common tangtnts that can be drawn to the circleS x^(2)+...

    Text Solution

    |

  4. Two circleS of equal radius ' r ' cut orthogonally. If their centres ...

    Text Solution

    |

  5. The radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 x^(2)+y^(...

    Text Solution

    |

  6. The equation of the normal to the circle x^(2)+y^(2)+6 x+4 y-3=0 at (...

    Text Solution

    |

  7. A line is at a constant distance c from the origin and meets the coord...

    Text Solution

    |

  8. The four distinct points (0,0),(2,0),(0,-2) and (k,-2) are conclyic if...

    Text Solution

    |

  9. The radius of the larger circle lying in the first quadrant and touch...

    Text Solution

    |

  10. The equation of the circle of radius 5 and touching the coordinate ax...

    Text Solution

    |

  11. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

    Text Solution

    |

  12. If P is a point such that the ratio of the squares of the ltngths of t...

    Text Solution

    |

  13. If the circle x^(2)+y^(2)+6 x-2 y+k=0 bisects the circumference of th...

    Text Solution

    |

  14. A line l meet the circle x^(2)+y^(2)=61 in A and B and P(-5,6) is suc...

    Text Solution

    |

  15. If the line 3 x-2 y+6=0 meets x -axis and y -axis respectively at A an...

    Text Solution

    |

  16. If P(1), P(2) and P(3) are the perimeters of the three circleS and ...

    Text Solution

    |

  17. The number of circleS that touch all the three lines x+y-1=0, x-y-1=0...

    Text Solution

    |

  18. Which of the following equations gives a circle

    Text Solution

    |

  19. The equation of the circle described on the common chord of the circ...

    Text Solution

    |

  20. If y=3 x is a tangent to a circle with centre (1,1) then the other ta...

    Text Solution

    |