Home
Class 12
MATHS
Find the equations to the common tangent...

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

A

`x = 0`

B

`y - 4 = 0`

C

`3x + 4y = 10`

D

`4x - 3y = 0`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -D|24 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -E ( Assertion-Reason Type Questions )|18 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent to the circle x^(2)+y^(2)-30x+6y+109=0 at (4,-1)

Find all the common tangent to the circles x^(2)+y^(2)-2x-6y+9=0 and x^(2)+y^(2)+6x-2y+1=0. Find the length of the direct common tangent and indirect common tangent.

The lengths of the common tangents of the circles x^(2)+y^(2)+4x=0 and x^(2)+y^(2)-6x=0 is

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

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
  1. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

    Text Solution

    |

  2. An equation of a cirlce through the origin, making an intercept of sqr...

    Text Solution

    |

  3. Find the equations to the common tangents of the circles x^2+y^2-2x-6y...

    Text Solution

    |

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

    Text Solution

    |

  5. C(1): x^(2) + y^(2) = 25, C(2) : x^(2) + y^(2) - 2x - 4y -7 = 0 be two...

    Text Solution

    |

  6. Two circles x^(2) + y^(2) + ax + ay - 7 = 0 and x^(2) + y^(2) - 10x ...

    Text Solution

    |

  7. The positive integral value of lambda, for which line 4x + 3y - 16lam...

    Text Solution

    |

  8. If the area of a quadrilateral formed by the tangents from the origin ...

    Text Solution

    |

  9. If (a cos theta(1), a sin theta(1)), ( a cos theta(2), a sin theta(2))...

    Text Solution

    |

  10. Equation of tangents drawn from (0, 0) to x^(2) + y^(2) - 6x -6y + 9 =...

    Text Solution

    |

  11. The locus of the centre of the circle which moves such that it touches...

    Text Solution

    |

  12. If a point (a, sqrt(a)) lies in region bounded between the circles x^(...

    Text Solution

    |

  13. Tangents and normal from a point (3, 1) to circle C whose equation x^(...

    Text Solution

    |

  14. C(1) and C(2) are two concentrate circles, the radius of C(2) being t...

    Text Solution

    |

  15. The equation (s) of common tangents (s) to the two circles x^(2) + y^...

    Text Solution

    |

  16. The equation (s) of circle (s) touching 12x - 5y = 7 at (1, 1) and hav...

    Text Solution

    |

  17. Let circle cuts ortholognally each of the three circles x^(2) + y^(2) ...

    Text Solution

    |

  18. The equation of a circle touching x-axis at (-4, 0) and cutting off an...

    Text Solution

    |

  19. Let one of the vertices of the square circumseribing the circle x^(2) ...

    Text Solution

    |

  20. IF x^(2) + y^(2) - 2y - 15 + lambda (2x + y - 9) = 0 represents family...

    Text Solution

    |