यदि गुणोत्तर श्रेणी में p वें , q वें तथा r वें पद क्रमशः a,b,c हो तो सिद्ध कीजिए - `|{:(log,p,1),(log,q,1),(log,r,1):}|=0`

l, m,n are the p^(th), q ^(th) and r ^(th) term of a G.P. all positive, then |{:(logl, p, 1),(log m, q, 1),(log n ,r,1):}| equals :

If l, m, n are the p^(th), q^(th), r^(th) terms of a G.P which are +ve, then |(log l,p,1),(log m ,q,1),(log n ,r,1)|=

If a,b,c are all positive, and are p^(th), q^(th) and r^(th) terms of a G.P., show that |("log"a,p,1),("log"b,q,1),("log"c,r,1)|=0 .

If a,b,c are positive and ar the p^(th),q^(th),r^(th) terms respectively of a G.P show that, |{:(,log a,p,1),(,log b,q,1),(,log c,r,1):}|=0

a,b,c (all positive) are the p th, q th and r th terms of a geometric progression, then |{:(log _(e) a, p, 1), ( log _(e) b ,q, 1), ( log _(e) c, r,1):}| :a)pqr b)0 c) p + q + r d) pq + qr + rp

If a gt 0, b gt 0, c gt0 are respectively the pth, qth, rth terms of a G.P., then the value of the determinant |(log a,p,1),(log b,q,1),(log c,r,1)| , is

If a gt 0, b gt 0, c gt0 are respectively the pth, qth, rth terms of a G.P., then the value of the determinant |(log a,p,1),(log b,q,1),(log c,r,1)| , is

If p^th , q^th and r^th terms of a G.P. be a, b, c(a,b,c>0) , prove that (q-r) log a +(r-p) logb +(p-q) logic=0.