Home
Class 12
MATHS
The number of common tangents to the cir...

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

A

0

B

1

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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 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 .

Number of common tangents to the circles : x^2+y^2 -6x-14y+48=0 and x^2+y^2-6x=0 is :

The number of common tangents to the circles: x^2+y^2=4 , x^2+y^2 -4x +2y-4=0 is :

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^2-4x-6y-12=0 and x^2+y^2+6x+18y+26=0 , is :

The total number of common tangentss of x^(2)+y^(2) -6x-8y+9=0 and x^(2)+y^(2)=1 is

The equation of the common tangent of the curves x^(2)+4y^(2)=8 and y^(2)=4x is :

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The circle x^2+y^2 =4x+8y+5 intersects the line 3x-4y=m at two distinc...

    Text Solution

    |

  2. The two circles : x^2+y^2 =ax and x^2+y^2=c^2 (c > 0) touch each other...

    Text Solution

    |

  3. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

    Text Solution

    |

  4. The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect eac...

    Text Solution

    |

  5. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

    Text Solution

    |

  6. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

    Text Solution

    |

  7. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  8. The equation of the circle passing through the point (1, 1) and the po...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |