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ABC and BDE are two equilateral triangle...

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Then, `ar (DeltaBDE) = (1)/(2) ar (DeltaABC)`.

A

True

B

False

C

Partially true

D

None of these

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The correct Answer is:
A

True
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NCERT EXEMPLAR-Areas of Parallelograms and Triangles-Areas Of Parallelograms And Triangles
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  2. PQRS is a parallelogram whose area is 180 cm^(2) and A is any point on...

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  3. ABC and BDE are two equilateral triangles such that D is the mid-point...

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  4. In the figure, ABCD and EFGD are two parallelograms and G is the mid-p...

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  5. In the figure, PSDA is a parallelogram. Points Q and R are taken on PS...

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  6. X and Y are points on the side LN of the triangle LMN such that LX = X...

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  7. The area of the parallelogram ABCD is 90 CM^(2). Find (i) ar (ABEF) ...

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  8. In Delta ABC, D is the mid-point of AB and P is any point on BC. If CQ...

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  9. ABCD is a square. E and F are respectively the mid-points of BC and CD...

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  10. O is any point on the diagonal PR of a parallelogram PQRS (figure). Pr...

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  11. ABCD is a parallelogram in which BC is produced to E such that CE = BC...

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  12. In trapezium ABCD, AB || DC and L is the mid-point of BC. Through L, a...

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  13. If the mid-points of the sides of a quadrilateral are joined in order,...

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  14. A point E is taken on the side BC of a parallelogram ABCD. AE and DC a...

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  15. The diagonals of a parallelogram ABCD intersect at a point O. Through ...

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  16. The median BE and CF of a triangle ABC intersect at G. Prove that the ...

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  17. In figure, CD || AE and CY || BA. Prove that ar (DeltaCBX) = ar (Delta...

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  18. ABCD is trapezium in which AB||DC, DC = 30 cm and AB = 50 cm. If X and...

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  19. In DeltaABC , if L and M are the points on AB and AC, respectively suc...

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  20. In figure, ABCDE is any pentagon. BP drawn parallel to AC meets DC pro...

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