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A B C D is a trapezium with A B||D C ...

`A B C D` is a trapezium with `A B||D C` . A line parallel to `A C` intersects `A B\ ` at `X\ a n d\ B C` at `Ydot` Prove that `a r( A D X)=a r(\ A C Y)dot`

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
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  4. Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect a...

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  5. In Figure, A P || B Q\ || C R. Prove that a r\ ( A Q C)=\ a r\ (P B R)

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  6. In Fig.9.29, a r\ (B D P)\ =\ a r\ (A R C)and a r\ (B D P)\ =\ a r\ (A...

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  7. Diagonals A C and B D of a quadrilateral A B C D intersect at O in suc...

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  8. In Figure, diagonals AC and BD of quadrilateral ABCD intersect at O ...

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  9. A point O inside a rectangle A B C D is joined to the vertices. Prov...

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  10. Show that the area of a rhombus is half the product of the lengths ...

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  11. A B C D is a parallelogram and O is any point in its interior. Prove t...

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  12. A quadrilateral A B C D is such that diagonal B D divides its area in ...

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  13. Parallelogram A B C D and rectangle A B E F have the same base A B and...

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  14. O is any point on the diagonal B D of the parallelogram A B C D. Prove...

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  15. Triangles A B C and DBC are on the same base B C with A, D on opposite...

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  16. D and E are points on sides AB and AC respectively of DeltaA B Csuch...

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  17. If the medians of a triangle A B C intersect at G , show that a r( tr...

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  18. D, E and F are respectively the mid-points of the sides BC, CA and AB...

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  19. B D is one of the diagonals of a quadrilateral A B C D. A M and C N ...

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