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The value of the parameter a(a>=1) for w...

The value of the parameter `a(a>=1)` for which the area of the figure bounded by the pair of staight lines `y^2-3y+2=0` and the curves `y=[a]x^2, y=1/2[a]x^2` is greatest is (Here [.] denotes the greatest integer function). (A) `[0,1)` (B) `[1,2)` (C) `[2,3)` (D) `[3,4)`

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The correct Answer is:
`a in [1,2]`
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