Home
Class 12
MATHS
3 circles of radii a,b,c (a lt b<c) touc...

3 circles of radii `a,b,c (a lt b

A

`(1)/(sqrta) =(1)/(sqrtb)+(1)/(sqrtc)`

B

`(1)/(sqrtb) =(1)/(sqrtb) + (1)/(sqrtc)`

C

`a,b,c` are in A.P.

D

`sqrta, sqrtb, sqrtc` are in A.P.

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 QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 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

Two concentric circles of radii a and b(a gt b) are given. Find the length of the chord of the larger circle which touches the smaller circle.

A charge Q is distributed over three concentric spherical shells of radii a, b, c (a lt b lt c) such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre, where r lt a, would be :

A line is tangent to three circles with radii a b,c (a>b>c) as shown.Then,which of the following is true?

In the figure , two concentric circles of radii a&b(a>b) are given.The chord AB of larger circle touches the smaller circle at C .The length AB is :

Two circles of radii a and b(a

Two circles of radii a and b touch each other externally and theta be the angle between their direct common tangents (a>b>=2) then

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  2. If the incentre of an equilateral triangle is (1,1) and the equation o...

    Text Solution

    |

  3. If a circle passing through the point (-1, 0) touches y-axis at (0, 2)...

    Text Solution

    |

  4. If y+3x =0 is the equation of a chord of the circle, x^2 + y^2-30x = 0...

    Text Solution

    |

  5. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  6. If one of the diameters of the circle, given by the equation x ^(2) + ...

    Text Solution

    |

  7. A circle passes through (-2, 4) and touches y-axis at (0, 2). Which on...

    Text Solution

    |

  8. Equation of the tangent to the circle at the point (1, -1) whose centr...

    Text Solution

    |

  9. If a point P has co-ordinates (0, -2) and Q is any point on the circle...

    Text Solution

    |

  10. If two parallel chords of a circle, having diameter 4 units, lie on th...

    Text Solution

    |

  11. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  12. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  13. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

    Text Solution

    |

  14. A circle passes through the points ( 2,3) and ( 4,5) . If its centre ...

    Text Solution

    |

  15. A square is incribed in a circle x^2+y^2-6x+8y-103=0 such that its sid...

    Text Solution

    |

  16. Let C (1) and C (2) be the centres of the circles x ^(2) + y ^(2) - 2x...

    Text Solution

    |

  17. A circle cuts a chord of length 4a on the x-axis and passes through a ...

    Text Solution

    |

  18. If the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersec...

    Text Solution

    |

  19. lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-...

    Text Solution

    |

  20. 3 circles of radii a,b,c (a lt b<c) touch each other externally and ha...

    Text Solution

    |