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A villager Itwari has a plot of land ...

A villager Itwari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of plot from one of the corners to construct a Health centre. Itwari agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how his proposal will be implemented.

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Show that the area of a rhombus is half the product of the lengths o...

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  2. The side AB of a parallelogram ABCD is produced to any point P. A line...

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  3. A villager Itwari has a plot of land of the shape of a quadrilatera...

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  4. A B C D is a trapezium with A B||D C . A line parallel to A C in...

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  5. Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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