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In an isosceles triangle `A B C` with `A B=A C ,` a circle passing through `B\ a n d\ C` intersects the sides `A B\ a n d\ A C` at `D\ a n d\ E` respectively. Prove that `D E || B C`.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Da n dE are, respectively, the points on equal sides A Ba n dA C of an...

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  2. A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in...

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  3. In an isosceles triangle A B C with A B=A C , a circle passing thr...

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  4. In Figure, /A=60^0\ a n d\ /A B C=80^0, find /D P C\ a n d\ /B Q C

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  5. A B is a diameter of a circle C(O ,\ r)dot Chord C D is equal to r...

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  6. P Q\ a n d\ R S are two parallel chords of a circle and lines R P\ ...

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  7. A B C D is a cyclic quadrilateral whose diagonals A C\ a n d\ B D in...

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  8. P is a point on the side B C of a triangle A B C such that A B=A P...

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

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

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

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

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

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

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

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

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

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

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

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