Home
Class 12
MATHS
Consider the circleS, x^(2)+(y-1)^(2)=9...

Consider the circleS, `x^(2)+(y-1)^(2)=9` (x-1)^(2)+y^(2)=25 .` These are such that

A

they touch each other

B

one circle lies entirely inside the other

C

each circle lies out side the other

D

they intersect in two points

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The radical axis of the circleS x^(2)+y^(2)+4 x=1 and 4 x^(2)+4 y^(2)=9 is

Consider the two curves C_(1):y^(2)=4x,C_(2):x^(2)+y^(2)-6x+1=0 then

For the given circleS x^(2)+y^(2)-6 x-2 y+1=0 and x^(2)+y^(2)+2 x-8 y+13=0 which of the following is true?

Length of common chord of the circles: (x-1)^2 +(y+1)^2 =r^2 and (x+1)^2 + (y-1)^2 =r^2 is :

Solve for x and y : (x+1)/(2)+(y-1)/(3)=9, (x-1)/(3)+(y+1)/(2)=8 .

If the circles x^(2)+y^(2)=9andx^(2)+y^(2)+2alphax+2y+1=0 touch each other internally , then alpha =

The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is at the point (3,1) on it is

The length of the common chord of the circle x^(2)+y^(2)+2 x+3 y+1=0 and x^(2)+y^(2)+4 x+3 y+2=0 is

The image of the circle x^(2)+y^(2)-2 x=0 in the line x+y=2 is the circle

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. Two vertices of an equilateral trianglt are (-1,0) and (1,0) and its t...

    Text Solution

    |

  2. The length of the tangtnt from (0,0) to the circle 2x^(2)+2y^(2)+x-y+...

    Text Solution

    |

  3. Consider the circleS, x^(2)+(y-1)^(2)=9 (x-1)^(2)+y^(2)=25 . These ...

    Text Solution

    |

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

    Text Solution

    |

  5. The radical centre of the three circleS deseribed on the three sides ...

    Text Solution

    |

  6. The circle, which passes through the origin and whose centre lies on t...

    Text Solution

    |

  7. The equation of the circle described on the common chord of the circ...

    Text Solution

    |

  8. The equation of the circle which touches the lines x=0, y=0 and x=c(c...

    Text Solution

    |

  9. The centre and radius of the circle with the segment of the line x+y=...

    Text Solution

    |

  10. Two circleS of equal radius ' r ' cut orthogonally. If their centres ...

    Text Solution

    |

  11. Given that for the circle x^(2)+y^(2)-4 x+6 y+1=0 the line with equat...

    Text Solution

    |

  12. The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is a...

    Text Solution

    |

  13. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  14. The equation of a circle with centre (4,1) and having 3 x+4 y-1=0 as ...

    Text Solution

    |

  15. The slope of the radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 ...

    Text Solution

    |

  16. If the circle x^(2)+y^(2)+2 x-2 y+4=0 cuts the circle x^(2)+y^(2)+4 ...

    Text Solution

    |

  17. The centre of the circle touching the y -axis at (0,3) and making an ...

    Text Solution

    |

  18. A variablt circle passes through the fixed point (2,0) and touches th...

    Text Solution

    |

  19. The number of circleS that touch all the lines x+y-4=0, x-y+2=0 and y...

    Text Solution

    |

  20. The slope m of a tangtnt through the point (7,1) to the circle x^(2)+...

    Text Solution

    |