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The diagonals of a parallelogram ABCD in...

The diagonals of a parallelogram ABCD intersect at a point O. Through O, a line is drawn to intersect AD at P and BC to Q. show that PQ divides the parallelogram into two parts of equal area.

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MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. The diagonals of a parallelogram ABCD intersect at a point O. Through ...

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  2. In the figure. Show that ABCD is a parallelogram. Calculate the are...

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  3. Find the area of a rhombus whose diagonals are of lengths 10 cm and 8....

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  4. Calculate the area of trap. PQRS, given in the figure.

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

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  6. In a quad. ABCD it is given that BD = 16 cm. If AL bot BD and CM bot B...

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  7. ABCD is a parallelogram whose diagonals intersect at E. AC is produced...

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  8. ABCD is a parallelogram whose diagonals intersect at E. AC is produced...

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  9. P and Q are respectively the midpoints of sides AB and BC or a triangl...

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  10. P and Q are respectively the midpoints of sides AB and BC or a triangl...

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  11. P and Q are respectively the midpoints of sides AB and BC or a triangl...

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  12. In fig. ABCD and AEFG are two parallelograms. If angleC=55^@ and deter...

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  13. ABCD and AEFD are two parallelograms Prove that: ar(triangleAPE) : a...

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  14. In Fig. ABCD is a parallelogram. Prove that ar (DeltaACP) = ar (Del...

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  15. In triangleABC, it L and M are points on AB and AC respectively such t...

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  16. In triangleABC, it L and M are points on AB and AC respectively such t...

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

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

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  19. ABCD is parallelogram. X and Y are the mid-points of BC and CD respect...

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  20. PQRS and PABC are two parallelograms of equal area. Prove that QC||BR

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  21. Two parallelograms ABCD and AEFB are drawn on opposite sides of AB. Pr...

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