Home
Class 12
MATHS
A circle C1 of radius b touches the circ...

A circle `C_1` of radius b touches the circle `x^2 + y^2 =a^2` externally and has its centre on the positiveX-axis; another circle `C_2` of radius c touches the circle `C_1`, externally and has its centre on the positive x-axis. Given `a lt b lt c` then three circles have a common tangent if a,b,c are in

A

A.P.

B

G.P.

C

H.P.

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • 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 EXERCISE (CONCEPT-BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|55 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

A circle C touches the x-axis and the circle x ^(2) + (y-1) ^(2) =1 externally, then locus of the centre of the circle C is given by

A circle c_1 of radius 2 units rolls on the other side of the circle c_2 : x^2+y^2+4x=0 ,touching its externally .The locus of the centre of this outer circle C_1, is the circle C_3 :

Two circles of radius 1 and 4 touch each other externally.Another circle of radius r touches both circles externally and also one direct common tangent of the two circles.Then [(1)/(r)]=

A circle has its centre on the y-axis and passes through the origin, touches anotgher circle with centre (2,2) and radius 2, then the radius of the circle is

If a circle C passing through (4,0) touches the circle x^(2)+y^(2)+4x-6y-12=0 externally at a point (1,-1), then the radius of the circle C is :

A circle touches the line y = x at the point (2, 2) and has it centre on y-axis, then square of its radius is

A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line, then the locus of centre of the circle is :

The locus of the centre of the circle which moves such that it touches the circle (x + 1)^(2) + y^(2) = 1 externally and also the y-axis is

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  2. For each natural number k. Let C(k) denotes the circle with radius k c...

    Text Solution

    |

  3. C1 and C2 are circle of unit radius with centers at (0, 0) and (1, 0),...

    Text Solution

    |

  4. A chord of the circle x^2 + y^2 - 4x - 6y = 0 passing through the orig...

    Text Solution

    |

  5. On the line joining the points A (0,4) and B (3,0), a square ABCD is c...

    Text Solution

    |

  6. A circle with center at the origin and radius equal to a meets the axi...

    Text Solution

    |

  7. Equation of a circle having radius equal to twice the radius of the ci...

    Text Solution

    |

  8. A circle C1 of radius b touches the circle x^2 + y^2 =a^2 externally a...

    Text Solution

    |

  9. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

    Text Solution

    |

  10. The locus of points of intersection of the tangents to x^(2)+y^(2)=a^...

    Text Solution

    |

  11. If theta is the angle subtended by the circle S -= x ^(2) + y ^(2) + 2...

    Text Solution

    |

  12. If the area of the quadrilateral formed by the tangent from the origin...

    Text Solution

    |

  13. An equation chord joining the points (1,2) and (2,-1) subtends an angl...

    Text Solution

    |

  14. An equation of a common tangent to the circle x ^(2) + y ^(2) + 14 x -...

    Text Solution

    |

  15. The locus of the point, the sum of the squares of whose distances from...

    Text Solution

    |

  16. An isosceles triangle ABC is inscribed in a circle x^2+y^2=a^2 with t...

    Text Solution

    |

  17. If the chord of contact of the tangents drawn from a point on the c...

    Text Solution

    |

  18. If the line 3x - 4y - k = 0 (k gt 0) touches the circle x^(2)+y^(2)-4x...

    Text Solution

    |

  19. The circles x^2 + y^2 + 2g1x- a^2=0 and x^2 + y^2 + 2g2x-a^2 = 0 cut e...

    Text Solution

    |

  20. A circle C touches the x-axis and the circle x ^(2) + (y-1) ^(2) =1 ex...

    Text Solution

    |