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Let the vertex of an angle ABC be loca...

Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle. Prove that `\ /_A B C` is equal to half the difference of the angles subtended by the chords AC and DE at the centre.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A B C is a triangle in which A B=A C\ a n d\ P is a point on A C ....

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  2. In any triangle ABC, if the angle bisector of /A and perpendicular bi...

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  3. Let the vertex of an angle ABC be located outside a circle and let t...

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  4. In Figure, A B C is an equilateral triangle. Find m\ /B E C

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  5. In Figure, O is the centre of the circle. If /B O D=160^@, find the ...

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  6. In Figure A B C D is a cyclic quadrilateral. If /B C D=100^0a n d\ /A ...

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  7. If A B C D is a cyclic quadrilateral in which A D || B C . Prove tha...

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  8. In Figure, O is the centre of the circle. Find /C B D

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  9. A B\ a n d\ C D are diameters of a circle with centre Odot If /O B D...

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  10. On a semi-circle with A B as diameter, a point C is taken, so...

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  11. In a cyclic quadrilateral A B C D, if AB || CD\ a n d\ /B=70^0, find...

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  12. In a cyclic quadrilateral A B C D , if /A=3 /C. Find /A

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  13. In Figure, O is the centre of the circle and /D A B=50^0dot Calcula...

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  14. In Figure, if /B A C=60^0\ a n d\ /B C A=20^0,\ find /A D C

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  15. In Figure, if A B C is an equilateral triangle. Find /B D C\ a n d\...

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  16. In Figure, O is the centre of the circle. If /C E A=30^0, find the ...

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  17. In Figure, /B A D=78^0,\ /D C F=x^0a n d\ /D E F=y^0dot Find the va...

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  18. In a cyclic quadrilateral A B C D , if /A-\ /C=60^0, prove that ...

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  19. In Figure, A B C D is a cyclic quadrilateral. Find the value of a and ...

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  20. A B C D is a cyclic quadrilateral in which: B C is para l l e l t o ...

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