It is known that for a given n area I_y = 300 in⁴ and I_xy = −125 in⁴, where the x and y axes are rectangular centroidal axes. If the axis corresponding to the maximum product of inertia is obtained by rotating the x axis 67.5^o counterclockwise about C, use Mohr’s circle to determine

(a) The moment of inertia Ix of the area, 

(b) The principal centroidal moments of inertia.