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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. If two sides of a cyclic quadrilateral are parallel, prove that the ...

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

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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 any triangle ABC, if the angle bisector of /Aand perpendicular bis...

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

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  6. A B C D is a cyclic quadrilateral whose diagonals A Ca n dB D intersec...

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  7. (Converse of Theorem 3) The line joining the centre of a circle to the...

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  8. .The equation of the circle passing through three non-collinear points...

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  9. Two chords A B and A C of a circle are equal. Prove that the centre of...

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  10. If two chords A B and A C of a circle with centre O are such that the ...

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  11. If two arcs of a circle (or of congruent circles) are congruent, then ...

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  12. If two chord of a circle (or of congruent circles) are equal, then ...

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  13. The perpendicular from the centre of a circle to a chord bisects the ...

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  14. If two circles intersect in two points, prove that the line through th...

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  15. Find the length of the chord which is at 12 cm distance from center an...

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  16. In an isosceles triangle A B C with A B=A C , a circle passing through...

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  17. P Q and R S are two parallel chords of a circle and lines R P and S Q ...

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  18. A B C is an isosceles triangle in which A B=A Cdot If Da n dE are the ...

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  19. D and E are points on equal sides A B and A C of an isosceles triangle...

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  20. D\ a n d\ E are, respectively, the points on equal sides A B\ a n d...

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