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In a trapezium ABCD, AB is parallel to CD. If E is midpoint of side AD and a line drawn from point E, parallel to the parallel sides cuts BC at F then

A

BF = CF if AD = BC

B

BF = CF ia always true

C

`BF:CF` is less than 1 if `ADltBC`

D

`BF:CF` is greater than 1 if `ADgtBC`

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The correct Answer is:
B
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LUCENT PUBLICATION-QUADRILATERAL -Exercise 7A
  1. The quadrilateral formed by joining the mid-points of the sides AB, BC...

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  2. In the adjacent figure ABCD is a quadrilateral. AB, DC are parallel an...

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  3. Let LMNP be a parallelogram and NR be perpendicular to LP. If the area...

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  4. If a transversal line cuts two parallel lines then bisector of interna...

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  5. In a parallelogram ABCD, M is the midpoint of BD and BM is bisector of...

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  6. The angle subtended by side of a parallelogram with pair of other para...

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  7. In a parallelogram ABCD, a side AB is extended to E such that BE = AB....

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  8. ABCD is a square. M is the mid-point of AB and N is the mid-point of B...

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  9. A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance...

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  10. ABCD is a rhombus. A line passing through C cuts extended line AD and ...

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  11. In a quadrilateral ABCD, with unequal sides if the diagonals AC and BD...

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  12. The length of the diagonal BD of the parallelogram ABCD is 18 cm. If P...

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  13. ABCD is a cyclic trapezium whose sides AD and BC are parallel to each ...

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  14. The ratio of the angle angleA" and "angle B of a non-square rhombus AB...

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  15. If an exterior angle of a cyclic quadrilateral be 50^(@), then the opp...

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  16. ABCD is a cyclic trapezium such that AD || BC. If angle ABC=70^(@), th...

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  17. Each side of a rhombus is 10 cm, the sum of square of its diagonal is

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  18. In a trapezium ABCD, AB is parallel to CD. If E is midpoint of side AD...

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  19. Points E and F are respectively midpoints of sides AB and CD of a rect...

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  20. The area of a parallelogram ABCD is equal to that right angled isoscel...

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