A uniform disc of radius 8cm lies in the x-y plane, with its centre at origin. Its moment of inertia about z-axis is equal to its moment of inertia about the line 4y=3x+c.  Where c is constant. Find the value of c(tan37o=0.75)

IZ=MR22 The line, 4y=3x+C  or  y=34x+C4                                                 m=tanθ=34; OB=C4, θ=370            In ΔOAB, OA=OBcos370=(C4)(45)=C5I1=IZ=IO+M(c5)2 [∵ Parallel axes theorem]MR22=MR24+M(c5)2⇒MR24=M(c5)2⇒C5=±R2⇒C=±5R2