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Find the point (alpha,)beta on the ellip...

Find the point `(alpha,)beta` on the ellipse `4x^2+3y^2=12 ,` in the first quadrant, so that the area enclosed by the lines `y=x ,y=beta,x=alpha` , and the x-axis is maximum.

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A DAS GUPTA-Maxima and Minima-EXERCISE
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