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D and E are points on sides AB and AC respectively of `DeltaABC` such that ar (DBC) = ar (EBC). Prove that `DE II BC`.

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MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. In triangleABC, it L and M are points on AB and AC respectively such t...

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

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

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

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

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

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

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  8. A man who had a plot in the shape of a parallelogram divided it into t...

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  9. A man who had a plot in the shape of a parallelogram divided it into t...

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  10. A man who had a plot in the shape of a parallelogram divided it into t...

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  11. In a class, the teacher gave two simiar cardboard pieces which are in ...

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  12. In a class, the teacher gave two simiar cardboard pieces which are in ...

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  13. If ar(||gm ABCD) = 252 cm^2, then find the area of triangleADB?

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  14. In the figure. PQRS is a || gm. Find the value of y.

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  15. If the length of the diagonal of a square is 8 cm, then find its area.

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  16. The figure obtained by joining the midpoints of the adjacent sides of ...

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  17. If the area of a parallelogram ABCD is 30cm^2, then find the length of...

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  18. In the figure. ABCD is a ||gm and DN bot AB. If AB = 10 cm and DN =...

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  19. ABCD is a rhombus AC = 8 cm, and DB = 6 cm. Find the length of BC.

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  20. If ABC and BDE are two equilateral triangles such that D is the mid-po...

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