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P ,Q and R are, respectively, the mid-po...

`P ,Q` and `R` are, respectively, the mid-points of sides `B C ,C A` and `A B` of a triangle `A B C` , `P R` and `B Q` meet at `XdotC R` and `P Q` meet at `Y` . Prove that `X Y=1/4B Cdot`

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. In A B C ,A D is the median through A and E is the mid-point of A D ....

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  2. In Figure, A D , and B E are medians of A B C and B E || D Fdot P...

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  3. P ,Q and R are, respectively, the mid-points of sides B C ,C A and A B...

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  4. P is the mid-point of side A B of a parallelogram A B C D . A Line thr...

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  5. In Figure, A B C D isa trapezium in which side A B is a parallel to si...

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  6. In Figure, A B C D is a parallelogram. E and F are the mid-points of t...

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  7. A B C D is a parallelogram. P is a point on A D such that A P=1/3A D a...

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  8. In a triangle A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a...

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  9. In Figure, M ,N and P are the mid-points of A B ,A C and B C respectiv...

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  10. Prove that the line segment joining the mid-points of the diagonals of...

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  11. In a triangle A B C median A D is produced to X such that A D=D Xdot P...

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  12. In Delta ABC the lines are drawn parallel to BC,CA and AB respectively...

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  13. A B C D is a kite having A B=A D and B C=C D . Prove that the figure f...

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  14. Prove that In a parallelogram, opposite side are equal

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  15. The opposite angles of a parallelogram are equal.

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  16. The sides B A and D C of a quadrilateral A B C D are produced as shown...

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  17. In a quadrilateral A B C D ,A O andB O are the bisectors of A/ and /B ...

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  18. The angle of quadrilateral are respectively 100^0,98^0,92^0dot Find th...

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  19. The angles of a quadrilateral are in the ratio 3:5:9: 13. Find all the...

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  20. A diagonal of parallelogram divides it into two congruent triangles.

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