Home
Class 14
MATHS
Two circles touch each other at point X....

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

A

3.5

B

3.75

C

4.25

D

4.45

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2017 TIER-II PAPER(8)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
  • 2018 TIER-II PAPER(4)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

In two concentric circles, a chord of length 8cm of the larger circle touches the smaller circle. If the radius of the larger circle is 5cm then find the radius of the smaller circle.

Two circles touch each other externally at a point P and a direct common tangent touches the circles at the points Q and R respectively. Then angle QPR is

Two circles touch each other at point X. A common tangent touch them at two distinet points Y and Z. If another tangent passing through X cut YZ at A and XA = 15 cm, then what is the value (in cm) of YZ?

Two circles touch each other externally at point P.A common tangent AB is drawn touching the circles at A and B.Find /_APB .

Two circle touch each other externally at the point (0,k) and y-axis is the common tangent to these circles. Centres of these circle lie on the line

In Fig.10.21, two circles touch each other at the point C. Prove that the common tangent to the circles at C, bisects the common tangent at P and Q.( FIGURE )

CHAMPION PUBLICATION-2017 TIER-II PAPER(9)-EXERCISE
  1. In the given figure. If AD = 12 cm, AE = 8 cm and EC = 14 cm, then wha...

    Text Solution

    |

  2. Two circles are having radii 9 cm and 12 cm. The distance between thei...

    Text Solution

    |

  3. Two circles touch each other at point X. Two common tangents of the ci...

    Text Solution

    |

  4. Two circles touch each other at point X, A common tangent touch them a...

    Text Solution

    |

  5. There are 8 equidistant points A, B, C, D, E, F, G and H (in same orde...

    Text Solution

    |

  6. In the given figure, O is the centre of the circle and angle QOR= 50^@...

    Text Solution

    |

  7. There circle C1,C2 and C3 with radii r1,r2 and r3 (where r1 <r2 <r3) a...

    Text Solution

    |

  8. An equilateral triangle of area 300cm^(2) is cut from its three vertic...

    Text Solution

    |

  9. In the given figure, PQR is an equilateral triangle with side as 12cm....

    Text Solution

    |

  10. ABCD is a rectangle P is point on the side AB as shown in the given fi...

    Text Solution

    |

  11. In the given figure PQRSTU is a regular hexagon of side 12 cm. what is...

    Text Solution

    |

  12. In the given figure, ABCD is a square, BCXYZ is a regular pentagon and...

    Text Solution

    |

  13. In the given figure, 3 semicircles are drawn on three sides of triangl...

    Text Solution

    |

  14. The sum of radii of the two circles is 91 cm and the difference betwee...

    Text Solution

    |

  15. A right triangular prism has equilateral triangle as its base. Side of...

    Text Solution

    |

  16. The height of a cone is 45cm. It is cut at a height of 15cm from its b...

    Text Solution

    |

  17. The ratio of the curved surface area and total surface area of a right...

    Text Solution

    |

  18. The radius and height of a solid cylinder are increased by 2% each. Wh...

    Text Solution

    |

  19. A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cu...

    Text Solution

    |

  20. Two identical hemispheres of maximum possible size are cut from a soli...

    Text Solution

    |