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In Figure, A ,\ B ,\ C are three point...

In Figure, `A ,\ B ,\ C` are three points on a circle such that the angles subtended by the chords `A B\ a n d\ A C` at the centre `O` are `80^0\ a n d\ 120^0` respectively. Determine `/_B A C` and the degree measure of arc `B P C`

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In figure, A B\ a n d\ C D are straight lines and O P\ a n d\ O Q are respectively the bisectors of angles /_B O D\ a n d\ /_A O C . Show that the rays O P\ a n d\ O Q are in the same line.

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. BC is a chord with centre O. A is a point on an arc BC . Pr...

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

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

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

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

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  6. In Figure, find m\ /P Q B where O is the centre of the circle

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  7. Two circle intersect in A and B and AC and AD are respectively the dia...

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  8. Two circles are drawn with sides A B ,A C of a triangle A B C as diame...

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  9. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

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  10. In the figure, P is the centre of the circle. Prove that: /X P Z=2\...

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  11. In a circle with centre O , chords A B\ a n d\ C D intersect insid...

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  12. C is a point on the minor arc AB of the circle, with centre ...

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  13. In Figure, chord E D is parallel to the diameter A C of the circle...

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  14. In Figure, A B\ a n d\ C D are two chords of a circle, intersecting ...

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  15. If O is the circumcentre of a A B C and O D|B C , prove that /B O ...

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  16. In the given figure, a diameter PQ of a circle bisects the chord RS at...

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  17. In Figure, A B=C D. Prove that B E=D E\ a n d\ A E=C E , where E is th...

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  18. Two diameters of a circle intersect each other at right angles. Prove ...

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  19. Prove that the circle drawn with any side of a rhombus as a diameter, ...

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  20. A C and B D are chords of a circle that bisect each other. Prove that:...

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