Home
Class 10
MATHS
In the given figure, a tangent segment P...

In the given figure, a tangent segment PA touching a circle
in A and a secant PBC are shown If AP=15 cm and
BP=10cm , find the Length of PC.

Text Solution

Verified by Experts

The correct Answer is:
22.5 cm
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 following figure, a tangent segment PA touching a circle in A and a secant PBC are shown. If AP=12,BP=9, find BC.

A tangent segment PT touching a circle in T and a secant PAB are as shown in the figure below. IF TP=12 and PA=4, then AB= (a) 36 units (b) 32 units (c) 3 units (d) 40 units

In the following figure , ray PA is the tangent to the circle at point A and PBS is secant . If AP=14,BP=10, find BC.

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

In the figure , O is the center of the circle. From point R, seg RM and seg RN are tangent segments touching the circle at M and N. If OR = 10cm and radius of the circle = 5 cm, then (i) What is the length of each tanget segment ? (iii) What is the measure of /_MRO ? (iii) Whatis the measure of /_ MRN ?

In the adjoining figure , line PQ is a common tangent to the externally touching circles and the radii of two circles are 25cm and 9cm. Find the length of the common tangent segment of these circles.

In the adjoining figure, O is the centre of the circle. From point R, seg RM and RN are tangent segments drawn which touch the circle at M, N. If OR=10 cm, radius of the circle=5 cm, then find the length of each tangent segment.

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 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.

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

    |