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Let R be a rectangle given by the lines x = 0, x = 2, y = 0 and y = 5. Let A(  , 0) and B(0,  ),   [0, 2] and   [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

1. straight line
2. parabola
3. hyperbola
4. circle

Correct answer: hyperbola

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