When a, b, c, d, e and f are in G.P., then a2    d2    xb2    e2    yc2    f2    z depends on

Since a, b, c, d, e, f are in G. P. and if r is the common ratio of the G.P., thenb=arc=ar2d=ar3e=ar4f=ar5Therefore, given determinant isa2a2r6xa2r2a2r8ya2r4a2r10z=a2a2r611xr2r2yr4r4z=a4r6(0)=0                   ∵C1,C2 are identical