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

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

A

3

B

4

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x^(2)+y^(2)-2y-7=0 , is

The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

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

The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2) +y^(2) -2y = 0 is :

The number of common tangents to the circle x^(2)+y^(2)-2x-4y-4=0 and x^(2)+y^(2)+4x+8y-5=0 is _________.

Statement 1 : The number of common tangents to the circles x^(2) + y^(2) =4 and x^(2) + y^(2) -6x - 6y = 24 is 3. Statement 2 : If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.

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

Find the number of common tangents of the circles x^2+y^2-2x-6y+9=0 and x^2+y^2+6x-2y+1=0

The number of common tangents of the circles x^2+y^2−2x−1=0 and x^2+y^2−2y−7=0

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

ARIHANT MATHS ENGLISH-CIRCLE -Exercise (Subjective Type Questions)
  1. The centres of two circles C(1) and C(2) each of unit radius are at a...

    Text Solution

    |

  2. If P and Q are the points of intersection of the circles x^(2)+y^(2)+3...

    Text Solution

    |

  3. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

    Text Solution

    |

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

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. The two circles x^(2)+y^(2) = ax and x^(2)+y^(2) = c^(2) ( c gt0) touc...

    Text Solution

    |

  7. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  8. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

    Text Solution

    |

  9. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

    Text Solution

    |

  10. The length of the diameter of the circle which touches the x-axis at ...

    Text Solution

    |

  11. The circle passing through ( 1, -2) and touching the axis of x at ( 3,...

    Text Solution

    |

  12. Circle(s) touching x-axis at a distance 3 from the origin and having a...

    Text Solution

    |

  13. Let C be the circle with centre at (1, 1) and radius = 1. If T is t...

    Text Solution

    |

  14. A circle S passes through the point (0, 1) and is orthogonal to the ci...

    Text Solution

    |

  15. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+"...

    Text Solution

    |

  16. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  17. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  18. if one of the diameters of the circle, given by the equation, x^(2)+y^...

    Text Solution

    |

  19. Let RS be the diameter of the circle x^2+y^2=1, where S is the point (...

    Text Solution

    |

  20. For how many values of p, the circle x^(2)+y^(2)+2x+4y-p=0 and the coo...

    Text Solution

    |