Home
Class 10
MATHS
If from an external point P of a circle ...

If from an external point P of a circle with centre O, two tangents PQ and PR are drawn such `/_QPR=120^@`, prove that 2PQ=PO.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (Long Answer Questions 4 mark)|12 Videos

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|11 Videos

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (Short Answer Questions - I 2 mark)|13 Videos

  • ARITHMETIC PROGRESSIONS

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|10 Videos

Similar Questions

Explore conceptually related problems

If from an external point P of a circle with centre O,two tangents PQ and PR are drrawn such /_QPR=120^(@), prove that 2PQ=PO .

In Fig. two tangents RQ and RP are drawn from an external point R to the circle with centre O. If anglePRQ = 120 ^@ , then prove that OR = PR + RQ .

PQ is a tangent drawn from an external point P to a circle with center O, angle QOR is the diameter of the circle. If angle POR = 120^(@) . What is the measure of angle OPQ ?

In Fig,PQ is a tangent from an external point P to a circle with centre O and OP cuts the circle at T and QOR is a diameter.If /_POR=130^(@) and S is a point on the circle, find /_1+/_2

From a point P ,two tangents PT and PS are drawn to a circle with center O.Such that /_SPT=120^(@). Prove that OP=2PS.

Two tangents P Aa n dP B are drawn from an external point P to a circle with centre Odot Prove that A O B P is a cyclic quadrilateral.

In the figure , PQ and PR are tangents drawn from and external point P to the circle with centre O. Q and R are the points of contact. If PQ = 5 cm then what is the length of segment PR ? Why ?

VK GLOBAL PUBLICATION-CIRCLES -PROFICIENCY EXERCISE (Short Answer Questions - II 3 mark)
  1. triangleABC is an isosceles triangle in which AB=AC, circumscribed abo...

    Text Solution

    |

  2. From a point P , two tangents P A and P B are drawn to a circ...

    Text Solution

    |

  3. If AB,AC,PQ are tangents in Fig. , PX = 2cm and AB = 5cm Find the per...

    Text Solution

    |

  4. A circle in inscribed in a Delta ABC having sides 8 cm , 10 cm and 12...

    Text Solution

    |

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

    Text Solution

    |

  6. ABC is Right triangle, right angled at B such that BC = 6 and AB = 8 ...

    Text Solution

    |

  7. In figure, AB and CD are common tangents to two circles of unequal rad...

    Text Solution

    |

  8. In figure, common tangents AB and CD to two circles intersect at E. P...

    Text Solution

    |

  9. Two tangents PQ and PR are drawn from an external point to a circle wi...

    Text Solution

    |

  10. In Fig. 10.54, a circle touches all the four sides of a quadrilater...

    Text Solution

    |

  11. PQL and PRM are tangents to a circle with centre O at points Q and R r...

    Text Solution

    |

  12. A chord PQ of a circle is parallel to the tangent drawn at a point R ...

    Text Solution

    |

  13. If from an external point P of a circle with centre O, two tangents PQ...

    Text Solution

    |

  14. If Fig. 'O' is the centre of the circle Determine angleAQB and angleA...

    Text Solution

    |

  15. From a point P, two tangents PA and PB are drawn to a circle with cent...

    Text Solution

    |

  16. Find the actual length of sides of DeltaOTP (Fig)

    Text Solution

    |

  17. Find the perimeter of DeltaDEFG . (Fig.) .

    Text Solution

    |

  18. If d1,d2 (d2>d1) be the diameters of two concentric circles and c be t...

    Text Solution

    |

  19. In Fig. 10.57, a circle is inscribed in a quadrilateral A B C D in ...

    Text Solution

    |

  20. Let s denotes the semi-perimeter of a DeltaABC in which BC=a, CA=b and...

    Text Solution

    |