Home
Class 14
MATHS
In a circle, a diameter AB and a chord P...

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpen- dicularly. If AX : BX = `3 : 2` and the radius of the circle is 5 cm, then the length of chord PQ is:

A

`2 sqrt13` cm

B

`5 sqrt3` cm

C

`4 sqrt6` cm

D

`6 sqrt5` cm

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2016 TIER-II PAPER(15)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
  • 2017 TIER-II PAPER(10)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

O is the centre of a circle. AB is a chord of the circle but not its diameter. OC is perpendicular to AB. If OC = CB and radius of the circle be 7 cm, then the length of AB is

In a circle of radius 3 units, a diameter AB intersects a chord of length 2 units perpendicularly at P. If AP gt BP , then what is the ratio of AP to BP?

In a circle of radius 2 units, a diameter AB intersects a chord of length 2 units perpendicularly at P. If AP gt BP , then AP is equal to

In the following figure,PQ is the diameter of the circle with radius 5 cm. if AT is the tangent and equal to the radius of the circle, then find the lenth of AR.

CHAMPION PUBLICATION-2016 TIER-II PAPER(16)-EXERCISE
  1. PQ is a tangent to the circle at T. If TR = TS where R and S are point...

    Text Solution

    |

  2. In DeltaABC, AC = BC and angleABC = 50^(@), the side BC is produced to...

    Text Solution

    |

  3. In a circle, a diameter AB and a chord PQ (which is not a diameter) in...

    Text Solution

    |

  4. ABC is a triangle, PQ is line segment interseting AB in P and AC in Q ...

    Text Solution

    |

  5. If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are th...

    Text Solution

    |

  6. DeltaABC is isosceles having AB = AC and angleA=40^(@) Bisectors PO an...

    Text Solution

    |

  7. An equilateral triangle of side 6 cm is inscribed in a circle. Then ra...

    Text Solution

    |

  8. In a circle with centre O, AB is a diameter and CD is a chord which is...

    Text Solution

    |

  9. Two chords AB and CD of a circle with centre O intersect at P. If angl...

    Text Solution

    |

  10. If x tan 60^@+ cos 45^@ = sec 45^@ then the value of x^2+ 1 is यदि x...

    Text Solution

    |

  11. x,y, be two positive acute angles , x+ylt90^(@)andsin(2x-20^(@))=cos...

    Text Solution

    |

  12. If a^(2)sec^(2)x-b^(2)tan^(2)x=c^(2) then the value of (sec^(2)x+t...

    Text Solution

    |

  13. The value of (1+sec20^(@)+cot70^(@))(1-"cosec"20^(@)+tan70^(@)) is...

    Text Solution

    |

  14. If tan^4 theta+ tan^2 theta=1 then the value of cos^4 theta+cos^2 thet...

    Text Solution

    |

  15. The value of 8(sin^(6)theta+cos^(6)theta)-12(sin^(4)theta+cos^(4)the...

    Text Solution

    |

  16. An aeroplane flying horizontally at a height of 3 Km. above the groun...

    Text Solution

    |

  17. If the angle of elevation of the sun decreases from 45^(@) to30^(@) , ...

    Text Solution

    |

  18. The angle of elevation of the top of a tower , vertically erected in t...

    Text Solution

    |

  19. The angle of elevation of the top of an unfinished pillar at a point 1...

    Text Solution

    |

  20. Read the following pie-charts carefully to answer the questions. ...

    Text Solution

    |