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The diagonals of a parallelogram A B C D...

The diagonals of a parallelogram `A B C D` intersect at a point `Odot` Through `O` , a time is drawn to intersect `A D` at `P` and `B C` at `Q` . Show that `P Q` divides the parallelogram into two parts of equal area.

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. In Figure, P is a point in the interior of a parallelogram A B C D . S...

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  2. In Figure, P Q R S and A B R S are parallelograms and X is any point o...

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  3. The diagonals of a parallelogram A B C D intersect at a point Odot Thr...

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  4. E , F , G , H are respectively, the mid-points of the sides of parall...

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  5. The side A B of a parallelogram A B C D is produced to any point Pdot ...

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  6. In Figure, B C ||X Y ,B X||C A and A B|| YC Prove that: a r( A B X...

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  7. The medians B E and C F of a triangle A B C intersect at G . Prove tha...

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  8. ABCD is a parallelogram. E is a point on BA such that BE =2 EA and F i...

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  9. A circular grassy plot of land, 42 m in diameter has a path of 3.5m wi...

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  10. A point O inside a rectangle A B C D is joined to the vertices. Prove ...

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  11. Which of the following figure lie on the same base and between the ...

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  12. A B C D is a quadrilateral and B D is one of its diagonals as shown...

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  13. In parallelogram A B C D ,A B=10c mdot The altitudes corresponding to ...

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  14. Show that the segment joining the mid-points of a pair of opposite ...

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  15. The diagonals of a parallelogram A B C D intersect at O. A line ...

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  16. Prove that of all parallelograms of which the sides are given, the ...

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  17. In Figure, A B C D is a parallelogram and E F C D is a rectangle. Al...

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  18. If E ,\ F ,\ G\ a n d\ H are respectively the mid-points of the side...

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  19. p\ A N D\ q are any two points lying on the sides D C\ a n d\ A D r...

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  20. In Figure, P is a point in the interior of a parallelogram A B C Dd...

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