Home
Class 10
MATHS
AB and CD are two parallel chords of a c...

AB and CD are two parallel chords of a circle on opposite sides of a diameter such that AB = 24 cm and CD = 10 cm. If the radius of the circle is 13 cm, find the distance between the two chords.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

AB and CD are two parallel chords of a circle which are on opposite sides of the centre such that AB=10 cm , CD=24cm and the distance between AB and CD is 17 cm . Find the radius of the circle.

In the adjoining figure ,AB and CD are two parallel chords of a circle with centre O , whose length are 16 cm and 12 cm respectively. Find the radius of the circle if the distance between them is 14 cm.

AB and CD are two chords of a circle intersecting at a point P inside the circle. If AB= 24cm, AP= 4cm and PD = 8cm, determine CP

Chords AB and CD of a circle are parallel to each other and lie on opposite sides of the centre of the circle. If AB = 36 cm, CD = 48 cm and the distance between the chords is 42 cm, find the radius of the circle.

The length of two parallel chords of a circle are 6 cm and 8 cm . The radius of the circle is 5 cm. Find the distance btween them if : (i) chords are on the same side of the centre. (ii) chords are on the opposite side of the centre.

In a circle of radious 17 cm, two parallel chords are drawn on opposite side of a diameter. The distance between the chords is 23 cm. If the length of one chord is 16 cm, then the length of the other is (a) 34 cm (b) 15 cm (c) 23 cm (d) 30 cm

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.

AB and CD are two chords of a circle intersecting at a point P inside the circle. If AP=3cm, PB= 2.5cm and CD= 6.5 cm, determine CP.

Two parallel chords are drawn in a circle of diameter 30.0 cm. The length of one chord is 24.0 cm and the distance between the two chords is 21.0 cm, find the length of the other chord.

AB and CD are two chords of a circle intersecting at a point P outside the circle. If PA= 8cm, PC= 5cm and PD= 4cm, determine AB.

ICSE-MATHEMATICS -2017-SECTION- B
  1. AB and CD are two parallel chords of a circle on opposite sides of a d...

    Text Solution

    |

  2. How much should a man invest in Rs 50 shares selling at Rs 60 to obtai...

    Text Solution

    |

  3. Sixteen cards are labelled as a, b, c,…… m, n. o,p. They are put in a ...

    Text Solution

    |

  4. Sixteen cards are labelled as a, b, c,…… m, n. o,p. They are put in a ...

    Text Solution

    |

  5. Sixteen cards are labelled as a, b, c,…… m, n. o,p. They are put in a ...

    Text Solution

    |

  6. Using a ruler and a compass, construct a triangle ABC in which AB = 7 ...

    Text Solution

    |

  7. Using a ruler and a compass, construct a triangle ABC in which AB = 7 ...

    Text Solution

    |

  8. A conical tent has to accommodate 77 persons. Each person must have 16...

    Text Solution

    |

  9. If (7m+2n)/(7m-2n)=5/(3) use properties of proportion to find (i) m...

    Text Solution

    |

  10. A page fron a savings bank account passbook as given below : ** (i)...

    Text Solution

    |

  11. Use a graph paper for this question. (Take 2 cm = 1 unit on both x a...

    Text Solution

    |

  12. Use a graph paper for this question. (Take 2 cm = 1 unit on both x a...

    Text Solution

    |

  13. Use a graph paper for this question. (Take 2 cm = 1 unit on both x a...

    Text Solution

    |

  14. Calculate the mean of the following distribution using step deviation ...

    Text Solution

    |

  15. In the given figure PQ is a tangent to the circle at A. AB and AD are ...

    Text Solution

    |

  16. The printed of an air conditioner is Rs 45,000. The wholesaler allows ...

    Text Solution

    |

  17. The printed of an air conditioner is Rs 45,000. The wholesaler allows ...

    Text Solution

    |

  18. In the figure given, O is the centre of the circle. angleDAE=70^(@). F...

    Text Solution

    |

  19. A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle. Find...

    Text Solution

    |

  20. A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle. Find...

    Text Solution

    |

  21. Prove that ("sin"theta-2"sin"^(3)theta)/(2"cos"^(3)theta-"cos"theta)...

    Text Solution

    |