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The line x+y=a meets the axes of x and...

The line `x+y=a` meets the axes of x and y at A and B respectively. A triangle AMN is inscribed in the triangle `OAB`, O being the origin, with right angle at N, M and N lie respectively on OB and AB. If the area of the triangle AMN is `3/8` of the area of the triangle `OAB`, then `(AN)/(BM)` is equal to:

A

1

B

2

C

3

D

4

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The correct Answer is:
C
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