Home
Class 12
MATHS
The centres of a set of circles, each of...

The centres of a set of circles, each of radius 3, lie on the circle `x^2+y^2+25`. The locus of any point in the set is:

A

`4 le x ^(2) y ^(2) le 64`

B

`x ^(2) + y ^(2) le 25`

C

`x ^(2) + y ^(2) ge 25`

D

`3 le x ^(2) + y ^(2) le 9.`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (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
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 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 centers of a set of circles,each of radius 3, lie on the circle x^(2)+y^(2)=25. The locus of any point in the set is 4 =25(d)3<=x^(2)+y^(2)<=9

The centres of a set of circles,each of radius 6 ,lie on the circle x^(2)+y^(2)=100 .The locus of any point in the set is

The centre and radius of the circle x^(2)+y^(2)=25 is

Find the equation of circles with radius 12 and touching the circle x^(2)+y^(2)=25 at the point (3,4)

The locus of the centres of the circles which touch the circle x^(2)+y^(2)=1 externally also touch the y -axis and lie in the first quadrant,is

The locus of the centres of the circles, which touch the circle, x^(2)+y^(2)=1 externally, also touch the Y-axis and lie in the first quadrant, is

A chord of the circle x^(2)+y^(2)=a^(2) cuts it at two points A and B such that angle AOB = pi //2 , where O is the centre of the circle. If there is a moving point P on this circle, then the locus of the orthocentre of DeltaPAB will be a

Find the centre and radius of each of that circles : x^2 +y^2 -4x + 6y=5

Locus of centre of a circle of radius 2, which rolls on the outside of circle x^(2)+y^(2)+3x-6y-9=0 is

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. An equation of a circle touching the axes of coordinates and the line ...

    Text Solution

    |

  2. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

    Text Solution

    |

  3. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  4. If a circle passes through the point (a,b) and cuts the circle x^(2)+y...

    Text Solution

    |

  5. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  6. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  7. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  8. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  9. Let A(1, 2), B(3, 4) be two points and C(x, y) be a point such that ar...

    Text Solution

    |

  10. A circle touches y-axis at (0,3) and makes an intercept of 2 units on ...

    Text Solution

    |

  11. Equation of the circle which circumscribes the square formed by the li...

    Text Solution

    |

  12. If the centre of the circle passing through the origin and the point o...

    Text Solution

    |

  13. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  14. Equation of circle passing through (1,5) and (4,1) and touching y-axi...

    Text Solution

    |

  15. If the circle x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y=m at two d...

    Text Solution

    |

  16. The equation of the circle passing through the point (1,0) and (0,1) a...

    Text Solution

    |

  17. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

    Text Solution

    |

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

    Text Solution

    |

  19. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

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

    Text Solution

    |