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In Figure, A B\ a n d\ C D are two cho...

In Figure, `A B\ a n d\ C D` are two chords of a circle, intersecting each other at `P` such that `A P=C P`. Show that `A B=C D`.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. C is a point on the minor arc AB of the circle, with centre ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. In Figure, AB is a diameter of the circle, CD is a chord equal to th...

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  19. In Figure, O is the centre of the circle. If /A P B=50^0, find /A O B\...

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  20. In Figure, it is given that O is the centre of the circle and /A O...

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