The diagonals AC and CE of a regular hexagon ABCDEF are divided by the internal points M and N such that AM/AC = CN/CE = r. Determine r if B,M and N are collinear.
Correct Answer : C
If x ≥ y and y > 1, then the value of the expression logx (x/y) + logy (y/x) can never be
XYZ is a triangle with vertices X (8, -5), Y(6, -2) and Z,(6, 3). If XA is one of its medians, then the length of this median is
Find the number of ordered pairs (x, y) of integers such that 55x2 + 2xy + y2 = 2007