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P is a point on the side B C of a triang...

`P` is a point on the side `B C` of a triangle `A B C` such that `A B=A Pdot` Through `Aa n dC ,` lines are drawn parallel to `B Ca n dP A ,` respectively, so as to intersect at `D` as shown in Figure. Show that `A B C D` is a cyclic quadrilateral.

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RD SHARMA-CIRCLE -All Questions
  1. Let the vertex of an angle ABC be located outside a circle and let the...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. P Qa n dR S are two parallel chords of a circle and lines R Pa n dS Q ...

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

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  17. Da n dE are points on equal sides A Ba n dA C of an isosceles triangle...

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

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

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  20. In Figure, P Q R S is a cyclic quadrilateral. Find the measure of each...

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