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In Figure, A B C D is a parallelogram. P...

In Figure, `A B C D` is a parallelogram. Prove that: `a r( B C P)=a r( D P Q)` Construction: Join `A C`

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. In Figure, D , E are points on sides A B and A C respectively of A B ...

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  2. 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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  3. In Figure, A B C D is a parallelogram. Prove that: a r( B C P)=a r( D ...

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  4. A B C D is a parallelogram X and Y are the mid-points of B C and C D r...

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  5. The area of a trapezium is half the product of its height and the su...

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

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

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  8. Prove that the area of a rhombus is equal to half the rectangle cont...

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

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  10. Prove that two triangles having the same base and equal areas lie betw...

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  11. Show that a median of a triangle divides it into two triangles of eq...

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  12. A B C D is a trapezium with A B || D C. A line parallel to A C inters...

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

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  14. Let A B C D be a parallelogram of area 124c m^2dot If E and F are the ...

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  15. If A B C D is a parallelogram, the prove that a r( A B D)=a r( B C D...

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  16. Triangles on the same base and between the same parallels are equal ...

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  17. Triangles having equal areas and having one side of one of the trian...

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

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  19. If E ,F ,G and H are respectively the mid-points of the sides of a ...

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

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