Home
Class 10
MATHS
The length of tangent from an external p...

The length of tangent from an external point P on a circle with centre 0 is always less than OP.

Text Solution

Verified by Experts

PT is a tangent drawn from external point P. Join OT.
`:'OTbotPT`
So, OPT is a right angled triangle formed.
In right angled triangle, hypotenuse is always greater
than any of the two sides of the triangle.
`:'OTbotPT`
or `PTbotOP`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR|Exercise Arithmetic Progressions|71 Videos

  • CONSTRUCTIONS

    NCERT EXEMPLAR|Exercise Exercise 10.4 Long Answer type Questions|7 Videos

Similar Questions

Explore conceptually related problems

Length of tangent from an external point p to the circle S=0 is

The length of tangent from an external point on a circle is always greater than the radius of the circle.

The length of tangent from an external point on a circle is always greater than the radius of the circle.

The lengths of tangents drawn from an external point to a circle are ________.

The length of the tangent from an external point P to a circle of radius 5cm is 10cm . The distacne of the point from the centre of the circle is

In figure, CP and CQ are tangents from an external point C to a circle with centre O. AB is another tangent which touches the circle at R. If CP = 11 cm and BR = 4 cm. Find the length of BC.

In Fig,PQ is a tangent from an external point P to a circle with centre O and OP cuts the circle at T and QOR is a diameter.If /_POR=130^(@) and S is a point on the circle, find /_1+/_2

In the figure, PA is a tangent from an external point P to a circle with centre O. If anglePOB = 115^(@) , find angleAPO .

In figure ,PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm .If Pabot PB ,then the length of each tangent is :

NCERT EXEMPLAR-CIRCLES-Circles
  1. If a chord AB subtends and angle of 60^(@) at the centre of a circle, ...

    Text Solution

    |

  2. The length of tangent from an external point on a circle is always gre...

    Text Solution

    |

  3. The length of tangent from an external point P on a circle with centre...

    Text Solution

    |

  4. The angle between two tangents to a circle may be 0^(@).

    Text Solution

    |

  5. Write true or false and state reason If angle between two tangents dra...

    Text Solution

    |

  6. If angle between two tangents drawn from a point P to a circle of radi...

    Text Solution

    |

  7. The tangent to the circumcircle of an isosceles DeltaABC at A, in whic...

    Text Solution

    |

  8. If a number of circles pass through the end points P and Q of a line s...

    Text Solution

    |

  9. If a number of circles pass through the end points P and Q of a line s...

    Text Solution

    |

  10. AB is a diameter of a circle and AC is its chord such that angleBAC=30...

    Text Solution

    |

  11. Out of the 2 concentric circle the radius of the outer circle is 5 cm ...

    Text Solution

    |

  12. Two tangents PQ and PR are drawn from an external point to a circle wi...

    Text Solution

    |

  13. Prove that the centre of a circle touching two intersecting lines lies...

    Text Solution

    |

  14. If from an external point B of a circle with centre O, two tangents BC...

    Text Solution

    |

  15. In figure, AB and CD are common tangents to two circles of unequal rad...

    Text Solution

    |

  16. In figure, AB and CD are common tangents to two circles of equal radii...

    Text Solution

    |

  17. In figure, common tangents AB and CD to two circles intersect at E. P...

    Text Solution

    |

  18. A chord PQ of a circle is parallel to the tangent drawn at a point R ...

    Text Solution

    |

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

    Text Solution

    |

  20. Prove that a diameter AB of a circle bisects all those chords which ar...

    Text Solution

    |