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Prove that of all parallelograms of w...

Prove that of all parallelograms of which the sides are given, the parallelogram which is rectangle has the greatest area.

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Show that the segment joining the mid-points of a pair of opposite ...

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

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

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

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

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

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  8. In Figure, A B C D is a parallelogram, A E\ |D C\ a n d\ CC F|A D . ...

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  9. In above question number, if A D=6c m ,\ C F=10 c m ,\ a n d\ A E=8...

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  10. Let A B C D be a parallelogram of area 124\ c m^2. If E\ a n d\ F ar...

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  11. If A B C D is a parallelogram, then prove that a r\ (/\\ A B D)=\ a ...

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  12. Show that a median of a triangle divides it into two triangles of e...

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  13. A D is one of the medians of a A B Cdot\ \ X is any point on A ...

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  14. In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ (...

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  15. In Figure, A B C D is a quadrilateral and B E|A C and also B E meet...

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  16. Diagonals A C\ a n d\ B D of a trapezium A B C D with A B||D C inte...

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  17. In Figure, A B C D E\ is a pentagon. A line through B parallel to A...

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  18. Show that the diagonals of a parallelogram divide it into four tria...

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  19. The diagonals of quadrilateral A B C D ,\ A C\ a n d\ B D intersect ...

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  20. If the diagonals A C ,\ B D of a quadrilateral A B C D , interse...

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