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In triangle DeltaABC, points E and F lie...

In triangle `DeltaABC`, points E and F lie on sides AB and AC such that `EF||BC`. If `EF:BC=3:7` then what is the ratio of areas of `DeltaAEF` and trapezium EBCF ?

A

`9:49`

B

`9:58`

C

`40:49`

D

`9:40`

Text Solution

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The correct Answer is:
D
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LUCENT PUBLICATION-CONGRUENCE AND SIMILAR TRIANGLES -EXERCISE-5A
  1. A line parallel to side BC of DeltaABC meets AB and AC respectively at...

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  2. ABC is an equilateral triangle. P and Q are two points on bar(AB) and ...

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  3. In DeltaABC, XY is parallel to BC and it divides the triangle into two...

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  4. In triangle DeltaABC, points E and F lie on sides AB and AC such that ...

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  5. Point D and E respectively lie on the sides AB and AC of a triangle su...

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  6. If ratio of area of two similar triangles are 16:9 then ratio of perim...

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  7. If area of two similar triangle are equal then ratio of their correspo...

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  8. If ratio of area of two similar triangles are 64:81 and length of inte...

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  9. Diagonals AC and BD of a quadrilateral intersect at O. It AO:OC=1:2=BO...

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  10. In a triangle ABC, points D and E respectively lie on side AB and AC s...

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  11. Point D lies on side BC of a DeltaABC such that angleADC=angleBAC. If ...

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  12. Which of the following represents the sides of an acute angled triangl...

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  13. Which of the following combination of sides results in the formation o...

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  14. If the length of the three sides of a triangle are 6 cm, 8 cm and 10 c...

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  15. If two sides of an obtuse angled triangle are 8 cm and 15 cm and third...

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  16. If two sides of an obtuse angled triangle are 8 cm and 15 cm and third...

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  17. In the DeltaABC, points M and N respectively lie on side AB and AC suc...

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  18. line PQ meets triangle ABC such that P lies on AB and Q lies on AC. If...

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  19. In the given figure PM.PR=PN.PQ and is such that 4 PM=3 PQ. If area of...

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  20. ABC is a given triangle. A straight line EF is drawn parallel to BC. I...

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