Home
Class 10
MATHS
From an external point P, two tangents P...

From an external point P, two tangents PT and PS are drawn to a circle with centre O and radius r. if OP=2r, show that `/_OTS=/_OST=30^@`

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

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

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 an external point two tangents PA and PB are drawn to the circle with center O. Prove that OP is perpendicular bisector of AB.

In From an external point P, Two tangents PQ and PR are drawn to a circle of radius 4 cm with centre O . If angle QPR = 90^(@) then length of PQ is

If Figure-1, from an external point P, two tangents PQ and PR are drawn to a circle of radius 4 cm with centre O. if angleQPR=90^(@) , then length of PQ is

In the figure-3, from an external point P, two tangents PQ and PR are drawn to a circle of the radius 4 cm with centre O. If angle QPR = 90^@ , then length of PQ is

In the given figure,two tangents PQ and PR are drawn to a circle with centre C from an external point P ,Prove that /_QPR=2/_OQR

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

    |