Home
Class 10
MATHS
In the given figure AC is a diemeter of ...

In the given figure AC is a diemeter of a circle O, A circle is described on AO as diameter AE, a chord of the larger circle , intersects the smaller circle at B .
Prove that : AB = BE

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    ICSE|Exercise EXERCISE 17(B) |10 Videos

  • CIRCLES

    ICSE|Exercise EXERCISE 17( C ) |28 Videos

  • CIRCLES

    ICSE|Exercise EXERCISE 17( C ) |28 Videos

  • CHAPTERWISE REVISION EXERCISE

    ICSE|Exercise CHAPTERWISE REVISION EXERCISE (PROBABILITY)|16 Videos

  • CONSTRUCTIONS (CIRCLES)

    ICSE|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

Circle described on the focal chord as diameter touches

In a circle, with centre O ,a diameter AB and a chord AD are drawn . Another circle is drawn with AO as diameter to cut AD at C. Prove that : BD = 2 xx OC

If the perpendicular bisector of a chord AB of a circle PXAQBY intersects the circle at P and Q, prove that arc PXA cong"arc "PYB .

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.

Two concentric circles are of diameters 30cm and 18cm. Find the length of the chord of the larger circle which touches the smaller circle.

Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

In the adjoinig figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that angleAEB=60^@ .

In the given figure, AB is the diameter of the circle, centered at O. If angle COA =60^(@), AB=2r, Ac=d and CD=l, then l is equal to

ICSE-CIRCLES-EXERCISE 17(A)
  1. In cyclic quadrilateral ABCD , angle DAC = 27^(@) angle ADB = 33 ^...

    Text Solution

    |

  2. In the figure given alongside ,AB and CD are straight lines thorugh th...

    Text Solution

    |

  3. In the given figure AC is a diemeter of a circle O, A circle is descri...

    Text Solution

    |

  4. In the following figure . (i) if angle BAD = 96^(@) , " find " ...

    Text Solution

    |

  5. Prove that : the parallelogram , inscirbed in a circle , is a rect...

    Text Solution

    |

  6. Prove that : the rhombus , inscribed in a circle is a square.

    Text Solution

    |

  7. In the given figure AB = AC . Prove that DECB is an isoseles traqezium...

    Text Solution

    |

  8. Two cirlces intersect at P and Q . Through P diameter PA and PB of th...

    Text Solution

    |

  9. The figure given below, shows a circle with centre O. Given : angl...

    Text Solution

    |

  10. Two chords AB and CD intersect at P inside the circle . Prove that the...

    Text Solution

    |

  11. In the given figure ,RS is a diameter of the circle NM is parallel to...

    Text Solution

    |

  12. In the figure , given alongside. AB //CD and O is the centre of the ci...

    Text Solution

    |

  13. Two circles intersects at P and Q. through P, a straight line APB is...

    Text Solution

    |

  14. ABCD is a cyclic quadrilateral in which AB and DC on being produced , ...

    Text Solution

    |

  15. AB is a diameter of the circle APBR at shown in the figure. APQ and ...

    Text Solution

    |

  16. In the given figure . SP is bisector of angle RPT and PQRS is a cyc...

    Text Solution

    |

  17. In the figure O is the centre of the circle angle AOE = 150 ^(@) , an...

    Text Solution

    |

  18. In the figure , given below P and Q are the centres of two circles i...

    Text Solution

    |

  19. The figure shows two circles which intersects at A and B . The centre ...

    Text Solution

    |

  20. In the given figure ,O is the centre of the circle and angle DAB = 5...

    Text Solution

    |