Home
Class 10
MATHS
From a point P, two tangents PT and PS a...

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

Promotional Banner

Topper's Solved these Questions

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -IV: Geometry (Constructions) (VERY SHORT ANSWER TYPE QUESTIONS)|2 Videos
  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -IV: Geometry (Constructions) (Long Answer Type Questions)|16 Videos
  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -IV: Geometry (Circles) (Very short Answer type questions)|6 Videos
  • COORDINATE GEOMETRY

    OSWAL PUBLICATION|Exercise SELF ASSESSMENT |20 Videos
  • INTRODUCTION TO TRIGONOMETRY

    OSWAL PUBLICATION|Exercise Self - Assessment |15 Videos

Similar Questions

Explore conceptually related problems

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 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 tangent segments PA and PB are drawn to a circle with centre O such that /_APB=120o. Prove that OP=2AP

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.

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.

Two tangents TP and TQ are drawn to a circle with centre O from an external point T . Prove that /_PTQ=2/_OPQ .

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 tangent segments BC and BD are drawn to a circle with centre O and radius r such that angleDBC=120^(@) . Prove that BO=2BC.

OSWAL PUBLICATION-DIKSHA QUESTIONS -Unit -IV: Geometry (Circles) (Short Answer type questions)
  1. If Fig , AOB is diameter of a circle with centre O and AC is a tangent...

    Text Solution

    |

  2. In figure PQ is a tangent at a point C to a circle with centre O. If ...

    Text Solution

    |

  3. From the external point P tangents PA and PB are drawn to a circle wit...

    Text Solution

    |

  4. From an external point P, two tangents PT and PS are drawn to a circle...

    Text Solution

    |

  5. The incircle of an isosceles triangle ABC, in which AB = AC, touches t...

    Text Solution

    |

  6. Prove that the tangent at any point of circle is perpendicular to the ...

    Text Solution

    |

  7. A circle is inscribed in the quadrilateral ABCD. Given BC= 38 cm . BQ=...

    Text Solution

    |

  8. Find the value of x.

    Text Solution

    |

  9. In Fig , AB is a chord of a circle , with centre O , such that AB = 16...

    Text Solution

    |

  10. Prove that the length of the tangents drawn from an external point to ...

    Text Solution

    |

  11. In Fig , are two concentric circles of radii 6 cm and 4 cm with centre...

    Text Solution

    |

  12. From a point P, two tangents PT and PS are drawn to a circle with cent...

    Text Solution

    |

  13. In Figure, a quadrilateral ABCD is drawn to circumscribe a circle . ...

    Text Solution

    |

  14. In fig , a circle isinscribed in a triangle PQR with PQ = 10 cm , QR =...

    Text Solution

    |

  15. In the given figure the sides AB, BE and CA of triangle ABC touch a c...

    Text Solution

    |

  16. In figure , a triangle ABC is drawn to circumscribe a circle of radius...

    Text Solution

    |

  17. A triangle ABC is drawn to circumscribe a circle of radius 4 cm suc...

    Text Solution

    |

  18. In Fig XY and X'Y' are two parallel tangents to a circle with centre ...

    Text Solution

    |

  19. Two tangents T P and T Q are drawn to a circle with centre O fro...

    Text Solution

    |

  20. A circle touches the side BC of DeltaABC at P and touches AB and AC pr...

    Text Solution

    |