Home
Class 12
MATHS
x^(2)+y^(2)-4x-6y+9=0 and (x+3)^(2)+(y+2...

`x^(2)+y^(2)-4x-6y+9=0 and (x+3)^(2)+(y+2)^(2)=25` are two circles. The lines x=2 is a

A

tangent for both

B

diameter for both

C

tangent to the first and diameter of the sector

D

diameter of first and tangent to second

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C(Pole, Polar)|107 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1D(Angle Between Circles)|49 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1A(Circle)|110 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

The locus of the centre of the circle which cuts the circles x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 4x + 6y + 4 = 0 orthogonally is

The locus of the centre of the circle which cuts the circles x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 5x + 4y + 2 = 0 orthogonally is

If x^(2) + y^(2) - 4x - 2y + 5 = 0 " and " x^(2) + y^(2) - 6x - 4y - 3 = 0 are members of a coaxal system of circles then centre of a point circle in the system is

Consider the following statementas. I. The intercept made by the circle x^(2)+y^(2)-2x-4y+1=0 on Y- axis is 2sqrt(3) II. The intercept made by the circle x^(2)+y^(2)-4x-2y+6=0 on X-axis is 2sqrt(2) III. The straight line y=2x+1 cuts the circle br x^(2)+y^(2) = 9 at two distinct points Then which one of the following option is correct?

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. The equation of the tangent to the circle x^(2)+y^(2)=16 which are inc...

    Text Solution

    |

  2. The equation of the tangent to the circle x^(2)+y^(2)+4x-4y+4=0 which ...

    Text Solution

    |

  3. x^(2)+y^(2)-4x-6y+9=0 and (x+3)^(2)+(y+2)^(2)=25 are two circles. The ...

    Text Solution

    |

  4. P(-9,-1) is a point on the circle x^2+y^(2)+4x+8y-38=0. The equation t...

    Text Solution

    |

  5. The area of the triangle formed with the coordinate axes and the tange...

    Text Solution

    |

  6. The equations of the tangents to the circles x^(2)+y^(2)=a^(2) which m...

    Text Solution

    |

  7. The area of triangle formed by the positive x-axis and the tangent and...

    Text Solution

    |

  8. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Suppose that...

    Text Solution

    |

  9. If a tangnet drawn from the point (4,0) to the circle x^(2)+y^(2)=8 to...

    Text Solution

    |

  10. The tangent at (3,4), (4,-3) to the circle x^(2)+y^(2)=25" are"

    Text Solution

    |

  11. If the tangents at (5,12) and (12,-5) to a circle are perpendicular to...

    Text Solution

    |

  12. The locus of the point of intersection of two perpendicular tangents t...

    Text Solution

    |

  13. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  14. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  15. If the tangent from a point P to the circle x^(2)+y^(2)=1 is perpendic...

    Text Solution

    |

  16. The locus of the point of intersection of two tangents drawn to the ci...

    Text Solution

    |

  17. The locus of the feet of the perpendicular drawn from the point (a,0) ...

    Text Solution

    |

  18. The locus of the middle points of portions of the tangents to the circ...

    Text Solution

    |

  19. If 4t^(2)-5m(2)+6l+1=0, then the line lx+my+1=0 touches the circle

    Text Solution

    |

  20. The locus of the point (l,m) if the line lx+my=1 touches the circles x...

    Text Solution

    |