Home
Class 10
MATHS
In the figure, line l touches the circle...

In the figure, line l touches the circle with centre O at point P. Q is the midpoint of radius OP. RS is a chord thorugh Q such that chords RS `||` line l. If RS = 12 , find the radius of the circle.

Text Solution

Verified by Experts

The correct Answer is:
`therefore` The radius of the given circle is `4sqrt3` cm.
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    TARGET PUBLICATION|Exercise Activities for Practice|4 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Multiple Choice Question|25 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Practice Set 3.5|5 Videos
  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise Chapter 6: Statistics|4 Videos
  • CO-ORDINATE GEOMETRY

    TARGET PUBLICATION|Exercise CHAPTER ASSESSMENT|19 Videos

Similar Questions

Explore conceptually related problems

Line l touches a circle with centre O at point P. If radius of the circle is 9 cm, answer the following: What is d(O,P)=? Why?

The given figure shows a circle with centre O. P is mid-point of chord AB. Show that OP is perpendicular to AB.

In the adjoining figure,seg QR is a chord of the circle with centre O. P is the midpoint of the chord QR. If QR=24, OP=10, find radius of the circle. To find solutions of the problem , write the theorems that are useful , Using them, solve the problem.

In the given figure, chords PQ and RS intersect each other at point L. Find the lenth of RL.

In the figure, A is the centre of the circle. AN = 10 cm . Line MN touches the circles in point M. If MN = 6 cm then find the radius of the circle.

PS is the chord of the circle with centre O. A perpendicular is drawn from centre O of the circle to chord PS at M. If bar(PS) =30 cm and bar(OM) =8 cm , then find the radius of the circle.

Line l touches a circle with centre O at point P. If radius of the circle is 9 cm, answer the following: If d(O,Q)=8 cm, where does the point Q lie?

In the given figure, chords PQ and RS intersect each other at point L Find the length of RL.

The line RS which touches the circle at T is called _______ to the circle.

TARGET PUBLICATION-CIRCLE-Problem Set-3
  1. /ACB is inscribed in arc ACB of a circle with centre O . If /ACB= 65^...

    Text Solution

    |

  2. Chords AB and CD of a circle interset inside the circle at point E. ...

    Text Solution

    |

  3. In a cyclic square ABCD, twice the measure of /A is thrice the measu...

    Text Solution

    |

  4. Points A,B,C are on a circle, such that m( arc AB ) = m ( arc BC ) =12...

    Text Solution

    |

  5. Seg XZ is a diameter of a circle. Point Y lies in its interor. How man...

    Text Solution

    |

  6. Line l touches a circle with centre O at point P. If radius of the cir...

    Text Solution

    |

  7. In the figure, M is the centre of the circle and seg KL is a tangent ...

    Text Solution

    |

  8. In the adjoining figure, O is the centre of the circle. Seg AB, seg AC...

    Text Solution

    |

  9. In the figure, square ABCD is a parallalogram. It circumscribes the ci...

    Text Solution

    |

  10. In the figure, circle with centre M touches the circle with centre N a...

    Text Solution

    |

  11. Two circles intersect each other at the points P and Q. Two straight l...

    Text Solution

    |

  12. In the figure, line l touches the circle with centre O at point P. Q i...

    Text Solution

    |

  13. Prove the any three points on a circle cannot be collinear .

    Text Solution

    |

  14. In the figure, (1) m (arc CE ) = 54^(@), m (arc BD ) 23^(@), find ...

    Text Solution

    |

  15. In the adjoining figure ,chord EF || chord GH. Prove that, chord EGcon...

    Text Solution

    |

  16. In the adjoining figure , circles with centres C and D touch internall...

    Text Solution

    |

  17. In the adjoining figure, seg AB is a diameter of a circle with centre ...

    Text Solution

    |

  18. In the figure, seg MN is a chord of a circle with centre O. MN = 15, L...

    Text Solution

    |

  19. In the given figure two circles touch each other at the point C. Prove...

    Text Solution

    |

  20. Two circles intersect each other at the points P and Q. Two straight l...

    Text Solution

    |