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Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD) = ar (BOC). Prove that ABCD is a trapezium.

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SWAN PUBLICATION-AREAS OF PARALLELOGRAMS AND TRIANGLES -EXERCISE 9.3
  1. E is any point on median AD of a triangle ABC . Show that ar (ABE) = a...

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  2. Show that the diagonals of a parallelogram divide it into four triangl...

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  3. In Fig ., ABC and ABD are two triangles on the same base AB ....

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

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

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

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  7. In Fig ., diagonals AC and BD of quadrilateral ABCD intrsect at...

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  8. In Fig ., diagonals AC and BD of quadrilateral aBCD intrsect at...

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  9. In Fig ., diagonals AC and BD of quadrilateral ABCD intrsect at...

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  10. D and E are points on sides AB and AC respectively of DeltaABC such th...

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  11. XY is a line parallel to side BC of triangle ABC. If BE II AC and CF I...

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

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  13. In the figure. ABCD in a trapezium in which AB||DC. Proe that ar(trian...

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  14. In Fig ., ABCDE is a pentagon . A line through B parallel to ...

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  15. In Fig ., ABCDE is a pentagon . A line through B parallel to ...

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  16. Find the area of a square plot of side 8m.

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  17. ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB...

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  18. In Fig ., AP||BQ ||CR . Prove that ar (DeltaPBR) = ar (DeltaAQC)

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  19. Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a w...

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  20. ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilate...

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