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

`2sqrt(13)cm`

B

`5sqrt(13)cm`

C

`4sqrt(6)cm`

D

`6sqrt(5)cm`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DATA INTERPRETATION

    MOTHERS|Exercise MULTIPLE CHOICE QUESTIONS|372 Videos

  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 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.

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  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. Quadrilateral ABCD is circumscribed about a circle. If the lengths of ...

    Text Solution

    |

  11. In triangle ABC, angleBAC=90^(@) and AD|BC. If BD = 3 and CD = 4 cm, t...

    Text Solution

    |

  12. AD is perpendicular on angle bisector of angleABC of DeltaABC. A line ...

    Text Solution

    |

  13. AB and CD are two parallel chords of a circle of lengths 10 cm and 4 c...

    Text Solution

    |

  14. ABCD is a cyclic quadrilateral. AB and CD when produced meet at P, if ...

    Text Solution

    |

  15. A and B are the centers of two circles with radii 11 cm and 6 cm respe...

    Text Solution

    |

  16. The centroid of a triangle ABC is G. The area of triangle ABC is 60 cm...

    Text Solution

    |

  17. If the ratio of angles of a quadrilateral is 2 : 7 : 2 : 7 then, quadr...

    Text Solution

    |

  18. ABC is a triangle in which DE||BC and AD:DB = 5:4. Then DE:BC is

    Text Solution

    |

  19. If an isosceles triangle the length of each equal side is 'a' units an...

    Text Solution

    |

  20. The radii of two concentric circles are 17 cm and 25 cm. A straight li...

    Text Solution

    |