MathematicsHard57×since 2003Q3947Let R be a rectangle given by the lines x=0,x=2,y=0x=0, x=2, y=0x=0,x=2,y=0 and y=5y=5y=5. Let A(α,0)(\alpha,0)(α,0) and B(0,β),α∈[0,2](0,\beta),\alpha\in[0,2](0,β),α∈[0,2] and β∈[0,5]\beta\in[0,5]β∈[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 :AhyperbolaBstraight lineCparabolaDcircleCheck answerSkip