`{:(,"List A",,"List B"),((a),"In an A.P.,"S_(p) = "a, S"_(q) = "b, S"_(r) = "c, then" (a)/(q) (q - r) + (b)/(q) (r - p) + (c)/(r) (p - q)=,1.,0),((b),"In a G.P.,"T_(r) = "R, T"_(s) = "S, T"_(t) = "T, then"R^(s-t).S^(t-r).T^(r-s)=,2.,0),((c),"In an H.P."T_(p) = "a, T"_(p) = "b, T"_(r) = "c, then" bc(q - r) + ca (r - p) + ab (p - q) =,3.,0),((d),"If both in A.P. and G.P.,"T_(m) = "x, T"_(n) = "y, T"_(p) = "z then x"^(y - z).y^(z - x).z^(x-y) =,4.,0),((e),"If both in G.P. and H.P.,"T_(p) = "a, T"_(q) = "b, T"_(r) = "c, then",5.,0),(,a(b-c) log a + b (c - a) log b + c (a - b) log c =,,):}`

Answer

All (a), (b), (c), (d), (e) match to zero.