Home
Class 12
MATHS
How many common tangents can be drawn to...

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`

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

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

How many real tangents can be drawn to the ellipse 5 x^(2)+9 y^(2)=32 from the point (2,3)?

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

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

The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x + 6y + 15 = 0

The equation of the common tangent of the two touching circles, y^(2)+x^(2)-6x-12y+37=0 and x^(2)+y^(2)-6y+7=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 .

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The equation of the circle passing through the point (1, 1) and the po...

    Text Solution

    |

  2. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

    Text Solution

    |

  3. The slope of the tangent at the point (h, h) of the circle x^(2) + y^(...

    Text Solution

    |

  4. How many common tangents can be drawn to the following circles x^(2)+...

    Text Solution

    |

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

    Text Solution

    |

  6. A variable chord of the circle x^2 + y^2 - 2 ax = 0 is drawn through t...

    Text Solution

    |

  7. One of the diameters of the circle x^(2)+y^(2)-12 x+4 y+6=0 is give...

    Text Solution

    |

  8. The length of the common chord of the circle x^(2)+y^(2)+2 x+3 y+1...

    Text Solution

    |

  9. For the given circleS x^(2)+y^(2)-6 x-2 y+1=0 and x^(2)+y^(2)+2 x-8 y...

    Text Solution

    |

  10. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

    Text Solution

    |

  11. The locus of the midpoint of a chord of the circle x^(2)+y^(2) = 4 whi...

    Text Solution

    |

  12. The equation of the circle which is touched by y=x has its centre on ...

    Text Solution

    |

  13. Tangtnts drawn from the point (4,3) to the circle x^(2)+y^(2)-2 x-4 y...

    Text Solution

    |

  14. If (x)/(alpha)+(y)/(beta)=1 touches the circle x^(2)+y^(2)=a^(2) then...

    Text Solution

    |

  15. If a point (alpha, beta) lies on the circle x^(2)+y^(2)=1, then the l...

    Text Solution

    |

  16. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

    Text Solution

    |

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

    Text Solution

    |

  18. The equation (x-x(1))(x-x(2))+(y-y(1))(y-y(2))=0 represents a circle ...

    Text Solution

    |

  19. The locus of the centre of the circleS which touches both the axes is...

    Text Solution

    |

  20. The equation of the circle which passes through the points of interse...

    Text Solution

    |