Home
Class 11
MATHS
The number of common tangents to the cir...

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`

A

2

B

3

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

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

Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 and x^2+y^2-4x-10 y+9=0

The number of common tangent(s) to the circles x^2+y^2+2x+8y-23=0 and x^2+y^2-4x-10 y-19=0 is 1 (b) 2 (c) 3 (d) 4

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 is :

The number of common tangent to two circle x ^(2) +y^(2) =4 and x^(2) +y^(2) -8x+12=0 is-

Find the locus of a point which moves so that the ratio of the lengths of the tangents to the circles x^2+y^2+4x+3=0 and x^2+y^2-6x+5=0 is 2: 3.

Show that the common tangents to the circles x^2+y^2-6x=0 and x^2+y^2+2x=0 from an equilateral triangle.

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

A circle through the common points of the circles x^(2) + y^(2) - 2x - 4y + 1 = 0 and x^(2) + y^(2) - 2x - 6y + 1 = 0 has its centre on the line 4x - 7y - 19 = 0 . Find the centre and radius of the circle .

PATHFINDER-CIRCLE-QUESTION BANK
  1. If two curves, whose equations are ax^2+2hxy+by^2+2gx+2fy+c=0 and a'x^...

    Text Solution

    |

  2. Find the equation of the circle of minimum radius which contains the t...

    Text Solution

    |

  3. The number of common tangents to the circles x^2+y^2-4x-6y-12=0 and x^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. A point P lines on the circle x^2+y^2=169. If Q = (5, 12) and R= (-12,...

    Text Solution

    |

  8. A circle passing through (0, 0), (2, 6), (6, 2) cuts the x-axis at the...

    Text Solution

    |

  9. A point moves so that the sum of squares of its distances from the poi...

    Text Solution

    |

  10. If one end of a diameter of the circle x^2+y^2-4x-6y+11=0 is (3, 4) th...

    Text Solution

    |

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

    Text Solution

    |

  12. The equations of the circles which touch both the axes and the line 4x...

    Text Solution

    |

  13. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

    Text Solution

    |

  14. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

    Text Solution

    |

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

    Text Solution

    |

  16. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

    Text Solution

    |

  17. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

    Text Solution

    |

  18. The incentre of an equilateral triangle is ( 1, 1) and the equation of...

    Text Solution

    |

  19. The circle passing through (-1, 0) and touching the y - axis at (0, 2)...

    Text Solution

    |

  20. The straight line 2x - 3y = 1 divides the circular region x^2+y^2le6 i...

    Text Solution

    |