Home
Class 10
MATHS
In the figure, form a point P, two tange...

In the figure, form a point P, two tangents PT and PS are drawn to a circle with centre O such that `angle SPT = 120^@`. Prove that OP = 2PS.

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    AGRAWAL PUBLICATION|Exercise EXAMPLE|102 Videos

  • COORDINATE GEOMETRY

    AGRAWAL PUBLICATION|Exercise EXAMPLE|70 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

In Figure,two tangents ABandAC are drawn to a circle with centre O such that /_BAC=210^(0) .Prove that OA=2AB

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.

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

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

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.

AGRAWAL PUBLICATION-CIRCLES-EXAMPLE
  1. AB is the diameter of a circle and AC is its chord such that angle BAC...

    Text Solution

    |

  2. A circle is inscribed in an isosceles triangle ABC with AB = AC, touch...

    Text Solution

    |

  3. In the figure, form a point P, two tangents PT and PS are drawn to a c...

    Text Solution

    |

  4. In the figure, a circle is inscribed in a triangle ABC, such that it t...

    Text Solution

    |

  5. In the figure, AP and BP are tangents to a circle with centre O, such ...

    Text Solution

    |

  6. Prove that the rectangle circumscribing a circel is a square.

    Text Solution

    |

  7. In given figure, a quadrilateral ABCD is drawn to circumscribe a cirle...

    Text Solution

    |

  8. In the figure, O is the centre of the circle. PQ is a chord and PT is ...

    Text Solution

    |

  9. PQ is a tangent drawn from an external point P to a circle with centre...

    Text Solution

    |

  10. In given figure, two tangents RQ and RP are drawn from an external poi...

    Text Solution

    |

  11. Prove that the tangents drawn at the end points of a chord of a circle...

    Text Solution

    |

  12. In the figure given, there are two concentric circles with centre O. P...

    Text Solution

    |

  13. In the given figure, a circle touches the side BC of tiangle ABC at F ...

    Text Solution

    |

  14. From an external point P, tangents PA and PB are drawn to a circle wit...

    Text Solution

    |

  15. If the angle between two tangents drawn from an external point P to a ...

    Text Solution

    |

  16. In the figure, angle ADC = 90^@ BC = 38 cm, CD = 28 cm and BP = 25 m....

    Text Solution

    |

  17. If a circle touches the side BC of a triangle ABC at P and extended si...

    Text Solution

    |

  18. Out of two concentric circles, the radius of the outer circle is 5 cm ...

    Text Solution

    |

  19. In given figure two circle touch each othe at point C. prove that comm...

    Text Solution

    |

  20. prove that the parallelogram circumscribing a circle is a rhombus.

    Text Solution

    |