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A B C D is a parallelogram. E is a point...

`A B C D` is a parallelogram. `E` is a point on `B A` such that `B E=2\ E A\ a n d\ F` is a point on `D C` such that `D F=2\ F C`. Prove that `A E C F` is a parallelogram whose area is one third of the area of parallelogram `A B C D`.

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
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  2. A B C D is a parallelogram whose diagonals A C\ a n d\ B D intersect...

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  3. A B C D is a parallelogram. E is a point on B A such that B E=2\ E A...

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  4. In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points o...

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  5. In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points o...

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  6. In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points o...

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  7. A B C D is a parallelogram, G is the point on A B such that A G=...

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  8. A B C D is a parallelogram, G is the point on A B such that A G=2\...

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  9. A B C D is a parallelogram, G is the point on A B such that A G=2\...

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  10. In figure, ABCD is a parallelogram, AE perpendicular to DC and CF perp...

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  11. In Figure, C D\ || A E\ a n d\ C Y || B A. (i) Name a triangle equa...

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  12. In figure, P S D A is a parallelogram in which P Q=Q R=R S\ a n d\ A...

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  13. In Figure, A B C D is a trapezium in which A B D C and D C=40c m and ...

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  14. In Figure, A B C D is a trapezium in which A B || D C and D C=40c m an...

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  15. In Figure, A B C D is a trapezium in which A B || D C a n d DC=40cm ...

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  16. In Figure, A B C\ a n d\ B D E are two equilateral triangls such tha...

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  17. In Figure, A B C\ a n d\ B D E are two equilateral triangls such th...

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  18. In Figure, A B C\ a n d\ B D E are two equilateral triangls such th...

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  19. A B C is a triangle in which D is the mid-point of B C and E is the mi...

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  20. In figure, A B C\ a n d\ B D E are two equilateral triangles such th...

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