Home
Class 10
MATHS
If the length of the tangent from an ext...

If the length of the tangent from an external point P to a circle of radius 10cm. Is 24cm, then the distance of P from the centre is

A

13cm.

B

26cm.

C

`sqrt13 cm.

D

`sqrt26 cm.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Theorems related to Cyclic quadrilateral

    UNITED BOOK HOUSE|Exercise Exercise |10 Videos
  • Trigonometric Rations and Trigonometric Identities

    UNITED BOOK HOUSE|Exercise Exercise |31 Videos

Similar Questions

Explore conceptually related problems

The lengths of the two tangents from an external point to a circle are equal.

The radius of a circle with centre O is 5 cm. The length of the tangent to the circle from the external point is 12 cm. Find the distance of that point from the centre.

A circle with centre O, a point P is 25 cm away from the centre of the circle and the length of the tangent drawn from point P to the circle is 10cm. Find the length of the diametre of the circle.

O is the centre of a circle. An external point P is 26 cm away from the centre of the circle and the length of the tangent (PT) drawn from the point P to the circle at T is 10 cm. Calculate the length of the diameter of the circle.

Choose the correct answer and give justification for each. (ii) From a point Q, the length of the tangent to a circle is 24 cm. and the distance of Q from the centre is 25 cm. The radius of the circle is

Two equal line segments PA and PB are drawn form external point P of a circle . If the distance of PA from the centre of the circle be 3, cm then find the distance of PB form the centre .

Prove that the internal bisector of the angle between two tangents drawn from an external point of a circle will pass through the centre of the circle.

The length of the tangent from a point at a distance 13cm. From the centre of a circle with diameter 10cm. Is

If the length of tangent to the cirlce with centre O from any point P which is 26 cm apart from O is 10 cm then the radius of the circle is

UNITED BOOK HOUSE-Theorems related to Tangent to a Circle-Exercise
  1. Number of common tangents of two concentric circle are

    Text Solution

    |

  2. Number of common tangents of two non touching, non intersecting and no...

    Text Solution

    |

  3. If the length of the tangent from an external point P to a circle of r...

    Text Solution

    |

  4. The length of the tangent from a point at a distance 13cm. From the ce...

    Text Solution

    |

  5. The radii of two circles are 25cm. And 9cm. If they touch externally, ...

    Text Solution

    |

  6. Two circles touch externally at P. A direct common tangent AB to two c...

    Text Solution

    |

  7. The radius of a circle with centre O is 5cm. P is a point at a distanc...

    Text Solution

    |

  8. The radius of two concentric circles are 9 cm and 15 cm. If the chord ...

    Text Solution

    |

  9. If a chord of a circle of radius 5 cm is a tangent to anther circle of...

    Text Solution

    |

  10. The tangents are drawn at the extremities of diameter AB of a circle w...

    Text Solution

    |

  11. AB is a chord to a circle and PAT is the tangent to the circle at A. I...

    Text Solution

    |

  12. The tangents at two points A and B on the circle with the centre O int...

    Text Solution

    |

  13. Two circles touch each other externally at point A and PQ is a direct ...

    Text Solution

    |

  14. PR is tangent to a circle, with centre O and radius 4 cm, at point Q. ...

    Text Solution

    |

  15. Two circles touch each other externally at P. AB is a direct common ta...

    Text Solution

    |

  16. If the radii of two circles be 6 cm and 3 cm and the length of the tra...

    Text Solution

    |

  17. The distance between the centre of two equal circles, each of radius 3...

    Text Solution

    |

  18. The radii of two circles are 5 cm and 3 cm, the distance between their...

    Text Solution

    |

  19. P and Q are two points ona circle with centre at O. R is a point on th...

    Text Solution

    |

  20. Two circles interest at A and B. P is a point on produced BA. PT and P...

    Text Solution

    |