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The side A B of a parallelogram A B C D ...

The side `A B` of a parallelogram `A B C D` is produced to any point `Pdot` A line through `A` parallel to `C P` meets `C B` produced in `Q` and the parallelogram `P B Q R` completed. Show that `a r(llgm A B C D)=a r(llgm B P R Q)dot` CONSTRUCTION : Join `A C` and PQ. TO PROVE : `a r(llgm A B C D)=a r(llgm B P R Q)`

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. In A B C ,D is the mid-point of A B ,P is any point of B C, C Q || P ...

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

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  3. The side A B of a parallelogram A B C D is produced to any point Pdot ...

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  4. In a triangle \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C...

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  5. D is the mid-point of side B C of triangle A B C and E is the mid-poi...

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  6. In Fig. 9.30, D and E are two points on BC such that B D=D E=E C . S...

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  7. A villager Itwari has a plot of land of the shape of a quadrilateral...

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  8. In parallelogram A B C D ,A B=10c m. The altitudes corresponding to th...

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  9. D, E, F are the mid points of side AB, BC, AC prove that BDEF is a pa...

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

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  11. Prove that the area of an equilateral triangle is equal to (sqrt(3))...

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  12. In a parallelogram A B C D ,E ,F are any two points on the sides A B a...

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  13. The diagonals of a parallelogram A B C D intersect at Odot A line thro...

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  14. Show that the segment joining the mid-points of a pair of opposite s...

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  15. Diagonals A C and B D of a trapezium A B C D with A B || C D intersect...

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

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  17. If a triangle and a parallelogram are on the same base and between the...

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

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  19. Prove that The area of a parallelogram is the product of its base and...

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  20. Prove that Parallelograms on the same base and between the same para...

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