Home
Class 10
MATHS
From a point P, two tangents PA and PB a...

From a point P, two tangents PA and PB are drawn to a circle with centre O and radius r. If OP=2r, show that `triangleAPB` is equilateral.

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

From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP= diameter of the circle,show that APB is equilateral.

In the given figure,from an external point Ptwo tangents PT and PS are drawn to a circle with centre O and radius r.If OP =2r, show that /_OTS=/_OST=30^(@)

Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that angle APB = 2 angle OAB

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre O and radius 5cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord AB is 5cm, then what is the value of (in degrees) of angleCOD ?

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre O and radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord AB is 5 cm, then what is the value of (in degrees) of angleCOD ?

From a point P, two tangents PT and PS are drawn to a circle with centre O such that angleSPT = 120^@ Prove that OP = 2PS.

From the external point P tangents PA and PB are drawn to a circle with centre O. If angle PAB = 50^(@) , then find angle AOB .

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.

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

    |