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In a triangle ABC, E is the mid-point of median AD. Show that `a r\ (B E D)=1/4a r\ (A B C)```

A

2

B

1/4

C

4

D

1/2

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 )
  1. In the given figure, ABCD and FECG are parallelograms equal in area. I...

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  2. In figure, ABCD is a parallelogram, AE bot DC and CF bot AD. If AD = 1...

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  3. In a triangle ABC, E is the mid-point of median AD. Show that a r\ (B...

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  4. In figure, ABCD is a trapezium in which AB I I DC. Find the length of ...

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  5. In the figure, ABCD is a quadrilateral BD = 20 cm. If AL bot BD and CM...

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  6. Calculate the area of quad. ABCD.

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  7. In the given figure, AB bot AD, BC bot BD and AD = 9 cm, BC = 8 cm and...

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  8. If E ,F ,G and H are respectively the mid-points of the sides of a ...

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  9. PQRS is an isosceles trapezium in which PS = 10 cm, PQ = SR = 13 cm an...

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  10. Theorem 9.1 : Parallelograms on the same base and between the same par...

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  11. Which of the following figures lie on the same base and between the sa...

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  12. If PS is median of the triangle PQR, then ar(DeltaPQS): ar(DeltaQRP) i...

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  13. In parallelogram PQRS, find SM.

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

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

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

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

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

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

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

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