Home
Class 14
MATHS
P is a point out side a circle, which is...

P is a point out side a circle, which is 13 cm from the centre. A line drawn from point P intersects the circle at point A and B such that PA = 9 cm and AB = 7 cm. Then find the radius of the circle.

A

5 cm

B

4 cm

C

4.5 cm

D

5.5 cm

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND ITS TANGENT LINES

    LUCENT PUBLICATION|Exercise EXERCISE 8A|71 Videos
  • CENTRE OF TRIANGLE

    LUCENT PUBLICATION|Exercise EXERCISE-6B|8 Videos
  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

Similar Questions

Explore conceptually related problems

P is a point outside a circle and is 13 cm away from its centre. A secant drawn from the point P intersects the circle at points A and B in such a way that PA=9 cm and AB=7 cm. The radius of the circle is

P is a point outside a circle and is 26cm away from its centre.A secant PAB drawn from intersects the circle at points A and B such that PB = 32 cm and PA = 18 cm. The radius of the circle ( in cm ) is :

P is a point outside a circle with centre O, and it is 14 cm away from the centre. A secant PAB drawn from P intersects the circle at the points A and B such that PA = 10 cm and PB = 16 cm. The diameter of the Circle is:

If the tangent at a point P to a circle with centre O cuts a line through O at Q such that PQ=24cm and OQ=25cm. Find the radius of the circle.

In the given figure, TB is a chord which passes through the centre of the circle. PT is a tangent to the circle at the point T on the circle. If PT = 10 cm, PA = 5 cm and AB = x cm. then the radius of the circle is:

From a point P , 10cm away from the centre of a circle, a tangent PT of length 8cm is drawn. Find the radius of the circle.

A point P is 13 cm from the centre of the circle. The two tangent PQ and PR are drawn from the point P, The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle.

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?

Length of a tangent drawn to a circle with radius 3cm from a point 4cm from the centre of the circle is

LUCENT PUBLICATION-CIRCLE AND ITS TANGENT LINES-EXERCISE 8B
  1. Two circles with equal radius passes through the centres of each other...

    Text Solution

    |

  2. In DeltaABC angle bisector of angleA, angleB angleC meets cuts circumc...

    Text Solution

    |

  3. If a circle with radius of 10 cm has two parallel chords 16 cm and 12 ...

    Text Solution

    |

  4. Two circles of radii 8 cm and 2 cm respectively touch each other exter...

    Text Solution

    |

  5. ABCD is cyclic quadrilateral. Sides AB and DC, when produced meet at t...

    Text Solution

    |

  6. If a square is inscribed in a circle whose area is 314 sq. cm, then th...

    Text Solution

    |

  7. Two circles with same radius r intersect each other and one passes thr...

    Text Solution

    |

  8. Two circles intersect each other at point P an Q. If PA and PB are two...

    Text Solution

    |

  9. A and B are centres of two circles whose radii are 5 cm and 2 cm respe...

    Text Solution

    |

  10. AC and BC are two equal chords of a circle. BA is produced to any poin...

    Text Solution

    |

  11. Two circles of radius r(1) and r(2) touches externally at point A have...

    Text Solution

    |

  12. BC is a chord to a circle with centre O. A is a point on major are BC ...

    Text Solution

    |

  13. Two circles with radii 5 cm and 8 cm touch each other externally at a ...

    Text Solution

    |

  14. If the perimeter of a semi-circle is 144 cm, find its radius (in cm).

    Text Solution

    |

  15. R and r are the radius of two circles (R gt r). If the distance betwee...

    Text Solution

    |

  16. AB is diameter of a circle with centre 'O'. CD is a chord which is equ...

    Text Solution

    |

  17. P is a point out side a circle, which is 13 cm from the centre. A line...

    Text Solution

    |

  18. The area of the largest triangle that can be inscribed in a semicircle...

    Text Solution

    |

  19. The length of the common chord of two circles of radii 15 cm and 20 cm...

    Text Solution

    |

  20. SR is dirrect common tangent of two circles whose radii are respective...

    Text Solution

    |