If the pth, qth and rth terms of a G.P, are x,y and z repectively, then prove that `|{:(logx,p,1),(logy,q,1),(logz,r,1):}|=0`

The pth, qth and rth term of a G.P. are x, y, z respectively, then prove that- x^(q-r).y^(r-p).z^(p-q)=1 .

If the pth, qth and rth terms of a G.P. are again in G.P., then p, q, r are in

If the pth ,qth and rth terms of a G.P are a,b and c respectively show that (q-r)loga+(r-p)logb+(p-q)logc=0

If the pth, qth and rth terms of a G.P. are a,b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .

If the pth, qth and rth terms of an A.P. be x,y,z repsectively, then show that : x(q-r)+y(r-p)+z(p-q)=0

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that a(q-r)+b(r-p)+c(p-q)=0

If x,y,z are all positive and are the pth, qth and rth terms of a geometric progresion respectively, then the value of the determinant |(logx,p,1),(logy,q,1),(logz,r,1)|=

If the pth , qth , rth , terms of a GP . Are x,y,z respectively prove that : x^(q-r).y^(r-p).z^(p-q)=1

If the pth, th, rth terms of a G.P. are x, y, z respectively, prove that x^(q-r).y^(r-p) .z^(p-q) = 1 .

If the pth, qth and rth terms of a G.P. are , l,m,n respectively , then l^(q-r)m^(r-p)n^(p-q) is :