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

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

Text Solution

Verified by Experts

Because the length of tangent from an external point P on a circle may or may not be greater than the radius of the circle.
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 P on a circle with centre 0 is always less than OP.

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

Point A is situated at a distance of 6.5 cm from the centre of a circle. The length of tangent drawn from point A to the circle is 6 cm. What is the radius of the circle?

The length of tangents drawn from the 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

Theorem: The length of two tangents drawn from an external point to a circle are equal.

Prove that the length of the tangent drawn from an external point to a circle are equal. Using the above, do the following: TP and TQ are tangents from T to the circle with circle O and R in any point on the circle. If AB is a tangent to the circle at R, prove that TA + AR =TB +BR.

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

A point P is 25 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 24 cm. Find the radius of the circle.

NCERT EXEMPLAR-CIRCLES-Circles
  1. In figure, if PQR is the tangent to a circle at Q whose centre is O, A...

    Text Solution

    |

  2. If a chord AB subtends and angle of 60^(@) at the centre of a circle, ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |