Problem

Problem

Match the statements of Column I with values of Column II.
Column IColumn II
(A) The dimensions of the rectangle of perimeter 36 cm, which sweeps out the largest volume when revolved about one of its sides, are(p) 6
(B) Let A(−1,2)A(-1, 2) and B(2,3)B(2, 3) be two fixed points, a point PP lying on y=xy = x such that perimeter of △PAB\triangle PAB is minimum, then sum of the abscissa and ordinate of point PP, is(q) 12
(C) If x1x_1 and x2x_2 are abscissae of two points on the curve f(x)=x−x2f(x) = x - x^2 in the interval [0,1][0, 1], then maximum value of expression (x1+x2)−(x12+x22)(x_1 + x_2) - (x_1^2 + x_2^2) is(r) 4
(D) The number of non-zero integral values of aa for which the function f(x)=x4+ax3+3x22+1f(x) = x^4 + ax^3 + \frac{3x^2}{2} + 1 is concave upward along the entire real line is(s) 12\frac{1}{2}

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