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In a trapezium ABCD, AB || DC, AB = a cm...

In a trapezium ABCD, AB || DC, AB = a cm, and DC = b cm. If M and N are the midpoints of the nonparallel sides, AD and BC respectively then find the ratio of ar(DCNM) and ar(MNBA).

A

(3b +a) : (3a + b)

B

(3a + b) : (3b +a)

C

(2a + 3b): (3a + b)

D

(3a + 2b): (2a + 3b)

Text Solution

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The correct Answer is:
B
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MTG IIT JEE FOUNDATION-AREAS OF PARALLELOGRAMS AND TRIANGLES-EXERCISE ( Multiple Choice Questions )
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  2. In parallelogram PQRS, find SM.

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  3. In a trapezium ABCD, AB || DC, AB = a cm, and DC = b cm. If M and N ar...

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  4. In a class, teacher gave two cardboard pieces having equal area which ...

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  5. In the figure, ABCD is a square. E and Fare midpoints of AD and BC res...

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  6. In the given figure, PQRS is parallelogram, then find the area of Delt...

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  7. If the area, base and corresponding altitude of a parallelogram are x^...

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  8. In the given figure, AD is the median and E is any point on AC, such t...

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  9. The figure formed by joining the midpoints of the adjacent sides of a ...

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  10. PQRS is a rhombus in which angleR = 60°. Then PR : QS =

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  11. The lengths of the diagonals of a rhombus are 12 cm and 16 cm. The are...

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  12. In a quadrilateral ABCD, it is given that BD = 16 cm. If AL bot BD and...

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  13. In. the figure the angles BAD and ADC are right angles and AE I I BC, ...

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

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  15. A swimming pool, 30 m long has a depth of water of 80 cm at one end an...

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  16. In a square PQRS, X and Y are mid points of sides PS and QR respective...

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  17. In figure, if ar(DeltaABC) = 28 cm^(2), then find ar( I I^(gm) AEDF).

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  18. Which of the following statements is false?

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  19. The medians of Delta ABC intersect at point G. Prove that: area of D...

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  20. The perimeter of an isosceles right triangle is 2p, its area is

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