Home
Class 10
MATHS
AP is tangent to the circle with centre ...

AP is tangent to the circle with centre O at point A. OP =10 cm and `/_ OPA = 30^(@)`. The radiu of the circle is

A

10 cm

B

`5sqrt(3)` cm

C

5 cm

D

`10sqrt(3)` cm

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.1|9 Videos
  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.2|8 Videos
  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNMENT 4.5|8 Videos
  • CHALLENGING QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION 3 (MODEL QUESTION PAPER FOR PRACTICE ) Solve any one of the following subquestions :|1 Videos
  • COORDINATE GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 6.5|13 Videos

Similar Questions

Explore conceptually related problems

In Fig.10.81,AP is a tangent to the circle with centre O such that OP=4cm and /_OPA=30o. Then,AP=(FIGURE)2sqrt(2)cm (b) 2cm (c) 2sqrt(3)cm (d) 3sqrt(2)cm

PA and PB are tangents to a circle with centre O from point P.OP is equal to the diameter of the circle.Prove that ABP is equilateral triangle,

PA and PB are tangents to a circle with centre O, from a point P outside the circle and A and B are points on the circle. If /_ APB = 30^(@) , then /_ OAB is equal to :

AP is tangent to circle O at point P, What is the length of OP?

In the given figure, PT is a tangent to the circle with centre O. If OT=6cm and OP=10cm, thcn find the length of tangent PT.

In the given figure, TB is a chord which passes through the centre of the circle. PT is a tangent to the circle at the point T on the circle. If PT = 10 cm, PA = 5 cm and AB = x cm. then the radius of the circle is:

In the adjoining figure,PT is tangent to a circle with centre O.if OP= 25cm and radius of circle is 7cm ,then find the length of the tangent PT.

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.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-CIRCLE-EXAMPLES FOR PRACTICE
  1. If TP and TQ are two tangents to a circle with centre O , so that /PO...

    Text Solution

    |

  2. In the figure, sides of triangle ABC are tangents to the circle touchi...

    Text Solution

    |

  3. AP is tangent to the circle with centre O at point A. OP =10 cm and /...

    Text Solution

    |

  4. In the given figure, if AP= PB, then

    Text Solution

    |

  5. In the figure, a circle touches the side DF of triangle EDF at H and t...

    Text Solution

    |

  6. The side AB, BC and CA of triangle ABC touch a circle at P,Q and R res...

    Text Solution

    |

  7. In the figure, if /ABC = 60^(@) , then /AOC =

    Text Solution

    |

  8. In the figure, chords AD and BC intersect each other at right angles a...

    Text Solution

    |

  9. PQRS is a cyclic uadrilateral such that PR is the diameter of the circ...

    Text Solution

    |

  10. In the figure, O is the centre of the circle such that /AOC-140^(@), ...

    Text Solution

    |

  11. If P,Q,R are three points which lie on the circle with centre O such t...

    Text Solution

    |

  12. In the figure, chords PQ and RS intersect at T as shown. If /PSR=42^(@...

    Text Solution

    |

  13. In the figure, square PQRS is cyclic, /SPQ=7x^(@) and /SRQ=11x^(@), t...

    Text Solution

    |

  14. In the figure, /QPR has its vertex outside the circle such that m(arc ...

    Text Solution

    |

  15. In the figure, chord AB and chord CD intersect at point M inside the c...

    Text Solution

    |

  16. In the figure, ray PT touches the circle at point T and line PAB is se...

    Text Solution

    |

  17. Find the length of tangent segment drawn to a circle with radius 5 cm ...

    Text Solution

    |

  18. In the figure, line RS is tangent at point Q. If /PQS=65^(@) find m(ar...

    Text Solution

    |

  19. In the figure, line TA is tangent at point T, /PAT=30^(@) and PA=7.8...

    Text Solution

    |

  20. Two circles of radius 5 cm and 4 cm touch each other. Find the distanc...

    Text Solution

    |