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In a circle with centre O , chords A B...

In a circle with centre `O ,` chords `A B\ a n d\ C D` intersect inside the circumference at `E`. Prove that `/_A O C+\ /_B O D=2\ /_A E C`

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

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

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

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

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

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

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

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

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

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

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

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  13. A Ca n dB D are chords of a circle that bisect each other. Prove that:...

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

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  15. D is a point on the circumcircle of A B C in which A B=A C such tha...

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  16. The bisector of /B of an isosceles triangle A B C with A B=A C mee...

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  17. Bisectors of angles A, B and C of a triangle ABC intersect its circum...

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  18. Prove that the mid-point of the hypotenuse of a right triangle is eq...

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  19. A B is a diameter of a circle with centre O and radius O D is perp...

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  20. In Figure, P , is any point on the chord B C of a circle such that A B...

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