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p\ A N D\ q are any two points lying ...

`p\ A N D\ q` are any two points lying on the sides `D C\ a n d\ A D` respectively of a parallelogram `A B C Ddot\ ` Show that `a r( A P B)=a r\ ( B Q C)dot`

A

ar(`DeltaAPB`)

B

ar(`DeltaPBC`)

C

ar(`DeltaAPD`)

D

None of these

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A
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MTG IIT JEE FOUNDATION-AREAS OF PARALLELOGRAMS AND TRIANGLES-EXERCISE ( Multiple Choice Questions )
  1. The area of a trapezium whose parallel sides are 9 cm & 16 cm and the ...

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  2. In the adjoining figure, ABCD is a quadrilateral in which diag. BD = 1...

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  3. p\ A N D\ q are any two points lying on the sides D C\ a n d\ A D r...

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

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

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

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

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

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  9. Calculate the area of quad. ABCD.

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

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

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

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

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

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

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  16. In parallelogram PQRS, find SM.

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

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

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

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

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