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Find all the values of the parameter a(a...

Find all the values of the parameter `a(ale1)` for which the area of the figure bounded by pair of straight lines `y^(2)-3y+2=0` and curves `y=[a]x^(2),y=1/2[a]x^(2)` is greatest , where [.] denotes the greatest integer function.

A

[0, 1)

B

[1, 2)

C

[2, 3)

D

[3, 2)

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The correct Answer is:
B
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