Home
Class 12
MATHS
The number of common tangents to x^(2)+y...

The number of common tangents to `x^(2)+y^(2)=1, x^(2)+y^(2)-6x-8y+24=0` is

A

one

B

two

C

four

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

The number of common tangents to x^(2)+y^(2)=8, x^(2)+y^(2)=2 is

Find the number of common tangents of two circles x^(2)+y^(2)=4,x^(2)+y^(2)-6x-8y+16=0 ,

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

The number of common tangents to x^(2)+y^(2)=256, (x-3)^(2)+(y-4)^(2)=121 is

The number of common tangents to x^(2)+y^(2)=4,(x-3)^(2)+(y-4)^(2)=9 is

Find the number of common tangents of x^(2)+y^(2)-8x-6y+21=0, x^(2)+y^(2)-2y-16=0 also find point of intersection of tangents.

The number of common tangents to the circles x^(2)+y^(2)=4, x^(2)+y^(2)-8x+12=0 is

The number of common tangents to the circle x^(2)+y^(2)-4x-6y-12=0 and x^(2)y^(2)+6x+18y+26=0 is

The number of common tangents to the circles x^(2)+y^(2)-4x-2y+k =0 and x^(2)+y^(2)-6x-4y+l =0 having radii 2 and 3 respectively is

AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The circle x^(2)+y^(2)-4x-6y-12=0, x^(2)+y^(2)+6x-8y+21=0 are

    Text Solution

    |

  2. The circle x^(2)+y^(2)2x+4y+4y=0,x^(2)+y^(2)+4x-2y+1=0 are

    Text Solution

    |

  3. The number of common tangents to x^(2)+y^(2)=1, x^(2)+y^(2)-6x-8y+24=0...

    Text Solution

    |

  4. The number of common tangents to x^(2)+y^(2)=4,(x-3)^(2)+(y-4)^(2)=9 i...

    Text Solution

    |

  5. The internal cent re of similitude of two circles (x-2)^(2)+(y-3)^(2)=...

    Text Solution

    |

  6. The external centre of similitude of the two circles x^(2)+y^(2)-2x-6y...

    Text Solution

    |

  7. It is not possible to find the equation of a cicle I: If radius cent...

    Text Solution

    |

  8. Read of the following two statements I: sqrt(3)x-y+4=0 is tangent to...

    Text Solution

    |

  9. The number of parameters of the equation ax^(2)+ay^(2)+2fy+c=0 is

    Text Solution

    |

  10. If the circles x^(2)+y^(2)=a^(2), x^(2)+y^(2)-6x-8y+9=0 touch external...

    Text Solution

    |

  11. The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=...

    Text Solution

    |

  12. The equation to the circle whose radius is 3 and which touches interna...

    Text Solution

    |

  13. A circle of radius 2 units rolls inside the ring of the circle x^(2)+y...

    Text Solution

    |

  14. If 4y=x +7 is a diameter of the circumscribing circle of the rectangle...

    Text Solution

    |

  15. The area of the quadrilateral formed by the tangents from the point (4...

    Text Solution

    |

  16. The area (in sq units) of the triangle formed by the tangent, normal a...

    Text Solution

    |

  17. The area of the triangle formed with coordinate axes and the tangent a...

    Text Solution

    |

  18. The area of the triangle formed by the tangents from (1,3) to the circ...

    Text Solution

    |

  19. The area of an equilateral triangle inscribed in the circle x^(2)+y^(2...

    Text Solution

    |

  20. A right angled isoceles triangle is inscribed in the circle x^(2)+y^(2...

    Text Solution

    |