Home
Class 10
MATHS
O is the centre of a circle of radius...

`O` is the centre of a circle of radius 8 cm. The tangent at a point `A` on the circle cuts a line through `O` at `B` such that `A B=15 c m` . Find `O B` .

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise All Questions|329 Videos

  • CONSTRUCTIONS

    RD SHARMA|Exercise All Questions|21 Videos

Similar Questions

Explore conceptually related problems

A line through the centre O of a circle of radius 7cm cuts the tangent,at a point P on the circle,at Q such that PQ=24cm. Find OQ.

If the tangent at a point P to a circle with centre O cuts a line through O at Q such that PQ=24cm and OQ=25cm. Find the radius of the circle.

A tangent AB, at a point A of a circle of radius 5 cm, meets a line through the centre O at point B such that OB =12 cm. Length AB is

O is the centre of the circle. OP = 5 and OT = 4, and AB = 8. The line PT is a tangent to the circle. Find PB

In Fig. 15.76, O is the centre of circle of radius 28 cm. Find the area of minor segment A S B . (FIGURE)

Tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ=12cm. Find length of PQ

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ=13cm. Find the length of PQ.

In the figure, O is the centre of the circle . Seg AB is the diameter at the point C on the circle the tangent CD is drawn. Line BD is a tangent to the circle at point B. Show that seg OD || chord AC.

RD SHARMA-CIRCLES-All Questions
  1. Fill in the blanks: The common point of a tangent and the circle...

    Text Solution

    |

  2. How many tangents can a circle have?

    Text Solution

    |

  3. O is the centre of a circle of radius 8 cm. The tangent at a point ...

    Text Solution

    |

  4. If the tangent at a point P to a circle with centre O cuts a lin...

    Text Solution

    |

  5. A point P is 13cm from the centre of the circle. The length of the ...

    Text Solution

    |

  6. Find the length of the tangent drawn from a point whose distance fr...

    Text Solution

    |

  7. A circle is touching the side B C of A B C at P and touching A ...

    Text Solution

    |

  8. In Fig. 10.19, the incircle of A B C touches the sides B C ,\ C...

    Text Solution

    |

  9. In Fig. 10.20, the sides A B ,\ B C and C A of triangle A B C touc...

    Text Solution

    |

  10. In Fig. 10.21, two circles touch each other at the point C . Prove ...

    Text Solution

    |

  11. A circle touches all the four sides of a quadrilateral A B C D . Pr...

    Text Solution

    |

  12. If all the side of a parallelogram touch a circle, show that the pa...

    Text Solution

    |

  13. The radius of the incircle of a triangle is 4 cm and the segments i...

    Text Solution

    |

  14. Prove that the tangents at the extremities of any chord make equal ...

    Text Solution

    |

  15. Two tangents T P and T Q are drawn to a circle with centre O fro...

    Text Solution

    |

  16. P Q is a chord of length 8 cm of a circle of radius 5 cm. The tange...

    Text Solution

    |

  17. In Fig. 10.32, l and m are two parallel tangents at A and B . Th...

    Text Solution

    |

  18. Prove that the angle between two tangents drawn from an external po...

    Text Solution

    |

  19. Show that tangent lines at the end points of a diameter of a circle...

    Text Solution

    |

  20. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

    Text Solution

    |