Home
Class 9
MATHS
In the adjoining figure, 'O' is the cent...

In the adjoining figure, 'O' is the centre of the circle. `OL` and `OM` are perpendiculars from O to the chords AB and CD respectively. If `OL=OM` and `AB=16 cm`, then find the length of CD.

Text Solution

Verified by Experts

The correct Answer is:
16 cm

NA
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 10b|19 Videos
  • CIRCLE

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 10c|20 Videos
  • CIRCLE

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Questions )|5 Videos
  • AREA OF PARALLELOGRAMS AND TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Question)|5 Videos
  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure AB||CD, find x and y

In the adjoining figure O is the centre of the circle . If chord AB=2 cm radius OA=2 cm, then find the value of angle ACB .

In the adjoining figure, O is the centre of the circle and AB is its diameter. If AC=8 cm and BC= 6cm, then find the radius of the circle.

In the adjoining figure, O is the centre of the circle. If the chord AB is equal to the radius of the circle, then find the value of angleADB .

In the adjoining figure, O is the centre of a circle in which AB and CD are two diameters. Prove that AC|\ |BD and AD|\ |BC . If angleOBD =50^@ , then find the value of angleAOC .

In the adjoining figure, O is the centre of two concentric circles. The chord AB of larger circle intersects the smaller circle at C and D. (i) Find AC:BD . (ii) If AC=2cm , then find the length of BD.

In the given diagram 'O is the centre of the circle and AB is parallel to CD. AB = 24 cm and distance between he chord AB and CD is 17 cm. It the radius of the circle is 13 cm, find the length of the chord CD.

In the adjoining figure, O is the centre of the centre of the circle. If diameter AC=26cm and chord AB=10cm, then find the distances of the chord AB from the centre of the circle.

In the adjoining figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and angleBOD = 90^(@) . Find the area of the shaded region.

In the adjoining figure, O is the centre of the circle. If angleBOD=50^@ , then find angleBCD . (ii) In the adjoining figure, O is the centre of the circle. If angleABC=20^@ , then find angleAOC .

NAGEEN PRAKASHAN ENGLISH-CIRCLE -Exercise 10a
  1. In the adjoining figure O is the centre of circle and c is the mid poi...

    Text Solution

    |

  2. (i) Find the length of a chord which is at a distance of 12 cm from th...

    Text Solution

    |

  3. A chord of length 24 cm is at a distance of 5 cm form the centre of th...

    Text Solution

    |

  4. In the adjoining figure, AP=8cm, BP=2cm and angle CPA=90^@. Find the l...

    Text Solution

    |

  5. The height of circular arc ACB is 0.6 m. if the radius of circle is 3m...

    Text Solution

    |

  6. In the adjoining figure, 'O' is the centre of the circle. OL and OM ar...

    Text Solution

    |

  7. In the adjoining figure,O is the centre of two concentric circles. The...

    Text Solution

    |

  8. The length of common chord of two intersecting circles is 30 cm. If th...

    Text Solution

    |

  9. In the adjoining figure, chord AB= chord PQ. If angleOBA=55^@, then fi...

    Text Solution

    |

  10. Show that if two chords of a circle bisect one another they must be ...

    Text Solution

    |

  11. Two congruent circles intersect each other at points A and B. Through...

    Text Solution

    |

  12. If the two equal chords of a circle intersect : (i) inside (ii) on...

    Text Solution

    |

  13. prove that the line joining the mid-point of two equal chords of a ...

    Text Solution

    |

  14. If two circles intersect in two points, prove that the line through th...

    Text Solution

    |

  15. Two parallel chords of a circle , 12 cm and 16 cm long are on the sam...

    Text Solution

    |

  16. The diameter of a circle is 20 cm. There are two parallel chords of le...

    Text Solution

    |

  17. In the adjoining figure ,AB and CD are two parallel chords of a circle...

    Text Solution

    |

  18. The length of two parallel chords of a circle are 6 cm and 8 cm . The ...

    Text Solution

    |

  19. What happen to area of circle, if its radius is doubled?

    Text Solution

    |

  20. Name the shape shown in centre of our national flag. In how many parts...

    Text Solution

    |