Home
Class 12
MATHS
Find the number of common tangents th...

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`

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|53 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

The number of direct common tangents that can be drawn to the circles x^(2)+y^(2)+4x-6y-12=0 and x^(2)+y^(2)-8x+10y+16=0 is/are

The number of tangents that can be drawn from (0,0) to the circle x^(2)+y^(2)+2x+6y-15=0

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

The number of real tangents that can be drawn from (2, 2) to the circle x^(2)+y^(2)-6x-4y+3=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

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

How many common tangents can be drawn to the following circles x^(2)+y^(2)=6x and x^(2)+y^(2)+6x+2y+1=0 ?

The number of common tangents to the circles x^2 + y^2 - 4x + 6y + 8 = 0 and x^2 + y^2 - 10x - 6y + 14 = 0 is : (A) 2 (B) 3 (C) 4 (D) none of these

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (CONCEPT-BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. Equation of the circle passing through the origin and having its centr...

    Text Solution

    |

  2. The radius of the circle 3x ^(2) + by ^(2) + 4 bx - 6by + b ^(2) =0 ...

    Text Solution

    |

  3. Find the equaiton of the circle drawn on the intercept between the axe...

    Text Solution

    |

  4. The point (1,2) lies inside and (3,4) outside the circle x ^(2) +y ^(2...

    Text Solution

    |

  5. S: x ^(2) + y ^(2) + 6x - 14y-6 =0 is a circle and L: 7x + 3y + 58 =...

    Text Solution

    |

  6. The angle between the two tangents from the origin to the circle (x-7)...

    Text Solution

    |

  7. A line passes through the point P (5,6) outside the circle x^(2) + y ^...

    Text Solution

    |

  8. The tangent to the circle x^(2)+y^(2)=5 at the point (1, -2) also touc...

    Text Solution

    |

  9. Two circles of equal radius of 5 units have their centres at the origi...

    Text Solution

    |

  10. Two circle touch each other externally at the point (0,k) and y-axis i...

    Text Solution

    |

  11. A circle has radius 3u n i t s and its centre lies on the line y=x-1. ...

    Text Solution

    |

  12. The line 3x -y -17=0 meets the circle x ^(2) +y ^(2) -8x+ 10 y + 5=0 a...

    Text Solution

    |

  13. A circle passes through the origin and has its center on y=x If it cut...

    Text Solution

    |

  14. Equation of the circle on the common chord of the circles x ^(2) + y ^...

    Text Solution

    |

  15. A circle touches the lines x-y- 1 =0 and x -y +1 =0. the centre of the...

    Text Solution

    |

  16. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  17. If the circle (x-2) ^(2) + (y -3) ^(2)=a ^(2) lies entirely in the cir...

    Text Solution

    |

  18. There are four circles each of radius 1 unit touching both the axis. T...

    Text Solution

    |

  19. Find the locus of a point which moves so that the ratio of the lengths...

    Text Solution

    |

  20. A circle has two of its diameters along the lines 2x + 3y - 18 =0 and ...

    Text Solution

    |