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Let R be a rectangle given by the lines ...

Let R be a rectangle given by the lines `x=0,x=2, y=0 and y= 5`. Let `A(alpha,0) and B(0,beta), alpha in [0,2] and beta in [0,5]`,be such that the line segment AB divides the area of the rectangle `R` in the ratio `4:1` .Then, the mid-point of AB lies on a

A

hyperbola

B

parabola

C

straight line

D

circle

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