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Bisector A D of /B A C of A B C passes ...

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 Cdot`

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In Figure., A B C is a triangle in which /_B A C=30^0dot Show that B C is the radius of the circumcircle of A B C , whose centre is Odot

A B C D is a quadrilateral. A line through D , parallel to A C , meets B C produced in P as shown in Figure. Prove that a r\ ( A B P)=a r\ (Q u a ddotA B C D)dot

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O is any point on the diagonal B D of the parallelogram A B C Ddot Prove that a r( O A B)=a r( O B C)

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B M\ a n d\ C N are perpendicular to a line passing through the vertex A of a triangle A B Cdot If L is the mid-point of B C , prove that L M=L N

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RD SHARMA-CIRCLE -All Questions
  1. Prove that all the chords of a circle through a given point within it,...

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  2. Prove that the diameter is the greatest chord in a circle.

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  3. Bisector A D of /B A C of A B C passes through the centre O of the ci...

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  4. In Figure, A B\ a n d\ A C are two equal chords of a circle whose c...

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

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  6. Three girls Reshma, Salma and Mandip are playing a game by standing...

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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 and C are three points on a circle such that the angles subten...

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  10. In Figure., A B C is a triangle in which /B A C=30^0dot Show that B C ...

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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 iso...

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

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  19. In Figure, O is the center of the circle and the measure of arc ABC is...

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

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