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A B C D is a cyclic quadrilateral whose ...

`A B C D` is a cyclic quadrilateral whose diagonals `A Ca n dB D` intersect at `P` . If `A B=D C ,` Prove that : ` P A B~= P D C` `P A=P Da n dP C=P B` `A D ll B C`

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A B C D is a cyclic quadrilateral whose diagonals A C\ a n d\ B D intersect at P . If A B=D C , prove that: (i) P A B\ ~= P D C (ii) P A=P D\ a n d\ P C=P B (iii) A D || B C

A B C D is a cyclic quadrilateral in which A C\ a n d\ B D are its diagonals. If /_D B C=55^0\ a n d\ /_B A C=45^0, find /_B C D

A B C D is a parallelogram whose diagonals intersect at O . If P is any point on B O , prove that: a r\ (triangle \ A B P)=\ a r\ (triangle \ C B P)

A B C D is a parallelogram whose diagonals A C\ a n d\ B D intersect at O . A line through O intersects A B\ a t\ P\ a n d\ D C\ at Q . Prove that a r\ (\ /_\P O A)=\ a r\ (\ /_\Q O C) .

A B C D is a cyclic quadrilateral in which B A\ a n d\ C D when produced meet in E\ a n d\ E A=E Ddot Prove that: (i) A D is p a r a l l e l t o B C (ii) E B=E C

A B C D is a parallelogram whose diagonals A C and B D intersect at Odot A Line through O intersects A B at P and D C at Qdot Prove that a r( P O A)=a r( Q O C)dot

A B C D is a cyclic quadrilateral in which /_B A D=75^0,\ /_A B D=58^0a n d\ /_A D C=77^0,\ A C\ a n d\ B D intersect at Pdot then, find /_D P C

A B C D is a quadrilateral. A line through D , parallel to A C , meets B C produced in P as shown in figure. Prove that a r (triangle A B P) =a r (Quad. A B C D) .

The diagonals of quadrilateral A B C D ,\ A C\ a n d\ B D intersect in O . Prove that if B O=O D , the triangles A B C\ a n d\ A D C are equal in area.

In Figure, A N and C P are perpendicular to the diagonal B D of a parallelogram A B C D . Prove that : (i) A D N~= C B P (ii) A N=C P

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In any triangle ABC, if the angle bisector of /Aand perpendicular bis...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Prove that any cyclic parallelogram is a rectangle.

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