Home
Class 14
MATHS
A smaller circle touches internally to a...

A smaller circle touches internally to a larger circle at A and passes through the centre of the larger circle. O is the centre of the larger circle and BA, OA are of the diameters of the larger and smaller circles respectively. Chord AC intersects the smaller circle at a point D. If `AC = 12 cm`, then AD is :

A

4 cm

B

6 cm

C

5.6 cm

D

data insufficient

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

O is the centre of the smaller circle,O' is the centre of bigger circle.CD is tangent to the smaller circle,Find the radius of the smaller circle.

Two smaller circles touch a large circle internally and pass through the centre O of the larger circle. If the diameter of the bigger circle is 28 cm, what is the area of the bigger circle which is not enclosed by the two smaller circles (in cm^(2) ) ?

Two smaller circles touch a large circe internally and pass through the centre O of the larger circle.if the diameter of the bigger circle is 28 cm, what is the area of the bigger circle which is not enclosed by the two smaller circles ( in cm^(2) ) ?

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.

In the following figure, three circles are given. The two smaller circles are equal. The radius of the larger circle is 8 cm. O is the centre or the larger circle. Find area of shaded portion.

A circle is drawn in a sector of a larger circle of radius r, as shown in the adjacent figure. The smaller circle is tangent to the two bounding radii and the are of the sector. The radius of the small circle is-

Two circles touch internally and their centres are O and Oc as shown. The sum of their areas is 180 pi sq. cm. and the distance between their centres is 6 cm. What is the diameter of the larger circle ?

In the given figure , a smaller circle touches a larger circle at P and Passes through its centre O . PR is a chord of length 34 cm , what is the length (in cm ) of PS?

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. There are 8 points, in a plane, how many different triangles can be fo...

    Text Solution

    |

  2. ABC is an isosciles triangle a circle is such that it parses though ve...

    Text Solution

    |

  3. A smaller circle touches internally to a larger circle at A and passes...

    Text Solution

    |

  4. In the given figure ADEC is a cyclic quadrilateral, CE and AD are exte...

    Text Solution

    |

  5. The mean of 100 observations was calculated as 40. It was found later ...

    Text Solution

    |

  6. The average weight of 29 students is 28 kg. by the admission of a new ...

    Text Solution

    |

  7. If x^2 + y^2 + z^2 = xy + yz + zx, then the triangle is :

    Text Solution

    |

  8. In the adjoining figure ABCD is a rectangle in which length is twice o...

    Text Solution

    |

  9. In the adjoining figure there are two congruent regular hexagons with ...

    Text Solution

    |

  10. The average age of 30 students of a class is 12 yr. The average age of...

    Text Solution

    |

  11. The age of Shaurya and Ravi is in the ratio 2 : 6. After 5 years, the ...

    Text Solution

    |

  12. The average of 8 numbers is 12. If each number is increased by 2, the ...

    Text Solution

    |

  13. The average of x, y and z is 45. x is as much more than the average as...

    Text Solution

    |

  14. In the given figure, P and Q are the mid points of AC and AB also PG =...

    Text Solution

    |

  15. A trapezium PQRS inscribes a circle which touches the circle at M, A, ...

    Text Solution

    |

  16. In the given diagram, river PQ is just perpendicular to the national h...

    Text Solution

    |

  17. In a triangle ABC, AD is the angle bisector of angleBAC and angleBAD=6...

    Text Solution

    |

  18. The average age of 24 students and the principal is 15 years. When the...

    Text Solution

    |

  19. The average temperature on Monday, Tuesday and Wednesday was 41 °C and...

    Text Solution

    |

  20. Answer the following duestions based on the information given below. ...

    Text Solution

    |