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Bisector A D of /B A C of /\ A B C passe...

Bisector `A D` of `/_B A C` of `/_\ A B C` passes through the centre `O` of the circumcircle of ` /_\A B C` as shown in figure. Prove that `A B=A C`.

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RD SHARMA ENGLISH-CIRCLE -All Questions
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  2. Prove that the diameter is the greatest chord in a circle.

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  5. In Figure, O A and O B ar respectively perpendiculars to chords C D an...

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  7. A circular park of radius 20m is situated in a colony. Three boys A...

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  8. In Figure, calculate the measure of /A O Cdot

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  9. A ,\ B\ a n d\ C are three points on a circle such that the angles s...

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  10. In Figure, A B C is a triangle in which /B A C=30^@. Show that B C is ...

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  11. A chord of a circle is equal to the radius of the circle find the angl...

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  12. In Figure, /A B C=69^0,\ /A C B=31^0 , find /B D C

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  13. In Figure, /P Q R=100^0, where P ,\ Q\ a n d\ R are points on a circle...

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  14. In Fig. 10.39, A, B, C and D are four points on a circle. AC and BD...

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  15. BC is a chord with centre O. A is a point on an arc BC . Pr...

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  16. BC is a chord with centre O. A is a point on an arc BC . Pr...

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  17. Prove that the circle drawn on any one of the equal sides of an isos...

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  18. In Figure, A ,\ B ,\ C are three points on a circle such that the an...

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  19. In Figure, O is the centre of the circle and the measure of arc A B...

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  20. In Figure, O is the centre of the circle. The angle subtended by the a...

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