Home
Class 10
MATHS
If the points of contact of the tangents...

If the points of contact of the tangents drawn from an external points P to a circle with centre O be A and B,then show that PAOB is a cyclic quadrilateral.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    R G PUBLICATION|Exercise EXERCISE|34 Videos

  • ARITHMETIC PROGRESSION

    R G PUBLICATION|Exercise EXERCISE|122 Videos

  • CO-ORDINATE GEOMETRY

    R G PUBLICATION|Exercise EXERCISE|70 Videos

Similar Questions

Explore conceptually related problems

Prove that the length of tangents drawn from an external point to a circle are equal.

If two tangents are drawn from an external point to a circle, what is the relation between the length of the tangents.

_____tangent can be drawn through a point on a circle.

PA and PB are two tangents drawn from an external point P at the points A and B on a circle C(0,r).Prove that OP_|_AB

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80^@ ,then anglePOA is equal to

In figure PQ and PR are tangents drawn from P to a circle with centre O.If angleOPQ=35^@ then

PA and PB are two tangents drawn from an external point P at the points A and B on a circle with centre O.If another tangent to the circle intersects PA and PB at L and M respectively,show that LM=AL+BM.

If the angle between two tangents drawn from a point outside of a circle is 120° . The angle at the centre is

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.

How many chords can be drawn through 21 points on a circle?

R G PUBLICATION-CIRCLES-EXERCISE
  1. If the points of contact of the tangents drawn from an external points...

    Text Solution

    |

  2. How many tangents can a circle have?

    Text Solution

    |

  3. A tangents to a circle intersects it in points

    Text Solution

    |

  4. A line intersecting a circle in two points is called a

    Text Solution

    |

  5. A circle can haveparallel tangents at the most.

    Text Solution

    |

  6. The common points of a tangnt to a circle and the circle is called

    Text Solution

    |

  7. A tangent PQ at a point P of a circle of radius 5 cm meets a line thro...

    Text Solution

    |

  8. Draw a circle and two line parallel to a given line such that one is a...

    Text Solution

    |

  9. From a point Q,the length of the tangent to a circle is 24 cm and the ...

    Text Solution

    |

  10. In Fig.10.11,if TP and TQ are the tangent to a circle with centre O so...

    Text Solution

    |

  11. If tangents PA and PB from a point P to a circle with centre O are inc...

    Text Solution

    |

  12. Prove that the tangents drawn at the ends of a diameter of a circle ar...

    Text Solution

    |

  13. Prove that the perpendicular at the points of contact to the tangents ...

    Text Solution

    |

  14. The length of a tangent from a point A at distance 5 cm from the centr...

    Text Solution

    |

  15. Two concentric circles are of radii 5 cm and 3 cm.Find the length of t...

    Text Solution

    |

  16. In Fig.10.13, XYandX'Y' are two parallel tangent to a circle with cen...

    Text Solution

    |

  17. Prove that the angle between the two tangents drawn from an external p...

    Text Solution

    |

  18. Prove that parallelogram circumscribing a circle is a rhombus.

    Text Solution

    |

  19. Prove that opposite sides of a quadrilateral circumscribing a circle s...

    Text Solution

    |

  20. In figure ,if AD,AE, and BC are tangents to the Circle at D,E and F re...

    Text Solution

    |

  21. In the adjacent figure if AB=12 cm,BC=8cm and AC=10 cm then the value ...

    Text Solution

    |