Home
Class 10
MATHS
In the adjoining figure, O is the centre...

In the adjoining figure, O is the centre, seg PQ is diameter,
line AQ is a tangent. If OP=3 and m(arc PM)=`120^@`,
determine AP.

Text Solution

Verified by Experts

The correct Answer is:
`4sqrt3` units
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    TARGET PUBLICATION|Exercise Chapter Assessment|14 Videos

  • CIRCLE

    TARGET PUBLICATION|Exercise Multiple Choice Question|27 Videos

  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise CHAPTER-1 :Linear Equations in Two Variable|1 Videos

  • CO-ORDINATE GEOMETRY

    TARGET PUBLICATION|Exercise CHAPTER ASSESSMENT|15 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure ,seg PS is a tangent segment. Line PR is a secant. If PQ=3.6, and QR=6.4, find PS.

In the adjoining figure, O is the centre and seg AB is a diameter. At point C on the circle, the tangent CD is drawn. Line BD is tangent at B. Prove that seg OD||seg AC

In the adjoining figure, point O is the centre of the circle. Line PB is a tangent and line PAC is a secant. Find PA xx PC if OP=25 and radius is 7.

In the adjoining figure, M is the centre of the circle and seg KL is a tangent. If MK=12, KL=6 sqrt 3 , then find measure of /_K and /_M

In the adjoining figure, M is the centre of the circle and seg KL is a tangent. If MK=12, KL=6 sqrt 3 , then find the radius of the circle.

In the following figure ,Point A is the centre of the circle. Line MN is tangent at point M. IF AN=12cm and MN=6cm, determine the radius of the circle.

In the adjoining figure, the radius of a circle with centre C is 6 cm. Line AB is a tangent at A. d(A,B)=6 cm, find d(B,C).

In the adjoining figure, point P is the centre of the circle and line AB is the tangent of the circle at T. The radius of the circle is 6 cm. Find PB if /_TPB=60^@

In the adjoining figure,O is the centre of the circle,XY is a diameter.OY-YR,O-Y-R,RZ is a tangent through Z.A tangent through the point Y intersects RZ in Q and XZ in P.Prove that: triangle PQZ is an equilateral triangle.

In the adjoining figure, the radius of a circle with centre C is 6cm, line AB is a tangent at A. Answer the following question (i) What is the measure of angle CAB ? Why? (ii) What is the distance of point C from line AB? Why? (iii) d(A,B)=6cm, find d(B,C). (iv) What is the measure of angleABC ? Why?

TARGET PUBLICATION-CIRCLE-Additional Problems for Practice
  1. In the adjoining figure, points A, B,C and D are on the circle. The ...

    Text Solution

    |

  2. In the adjoining figure, P is the circumcentre of the DeltaABC.mangle...

    Text Solution

    |

  3. In the adjoining figure, a rectangle PQRS is inscribed in a circle w...

    Text Solution

    |

  4. In the adjoining figure, chord LMcong chord LN, angleL=35^@ find: (...

    Text Solution

    |

  5. In the adjoining figure, A,B and C are three points on a circle with...

    Text Solution

    |

  6. In the adjoining figure, O is the centre, seg PQ is diameter, line AQ...

    Text Solution

    |

  7. As shown in the adjoining figure, two chords AB and CD of the same c...

    Text Solution

    |

  8. In the adjoining figure, m (arc XAZ)=m(arc YBW). Prove that : XY||ZW

    Text Solution

    |

  9. In a cyclic quadrilateral ABCD, angleB=(5x+40)^@ and angleD=(8x+23)^@...

    Text Solution

    |

  10. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

    Text Solution

    |

  11. Prove that in a cyclic trapezium, angles at the base are congruent.

    Text Solution

    |

  12. In the figure , if m ( arc DXE = 100^(@) and m (arc AYC ) = 40^(@),...

    Text Solution

    |

  13. In the given figure PA=6, PB=4 and PC=8. Find PD.

    Text Solution

    |

  14. In the adjoining figure. Chord MN and chord RS intersect each other a...

    Text Solution

    |

  15. In the adjoining figure , chords HI and KJ intersect at point L. If K...

    Text Solution

    |

  16. In the adjoining figure, chords CB and ED intersect each other in poi...

    Text Solution

    |

  17. In the adjoining figure ,seg PS is a tangent segment. Line PR is a se...

    Text Solution

    |

  18. In the given figure, a tangent segment PA touching a circle in A and ...

    Text Solution

    |

  19. In the following figure , ray PA is the tangent to the circle at poin...

    Text Solution

    |

  20. In the adjoining figure, line AP is tangent to the circle at A, secan...

    Text Solution

    |