If a,b,c, be the pth,qth nd rth terms respectively of a Geometric progression, and a`,b,cgt0` then show that: `(q-r)loga+(r-p)logb+(p-q)logc=0`

If a,b c(all positive)are the p th,q th and r th terms repectively of a geometric progression, show that abs((loga,p,1),(logb,q,1),(logc,r,1)) = 0.

If agt0,bgt0,cgt0 be respectively the pth, qth and rth terms of a G.P. are a, b ,c , prove that : (q-r) log a+ (r -p) log b + (p -q) log c = 0 .

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

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

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

If a,b,and c are positive and are the pth, qth and rth terms respectively of a GP. Show without expanding that |{:(loga,p,1),(logb,q,1),(logc,r,1):}|=0

(iii) If a,bc are respectively the pth,qth and rth terms of the given G.P. then show that (q-r)log a+(r-p)log b+(p-q)log c=0, where a,b,c>0.

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

If a, b, c be the pth, qth and rth terms respectively of a HP, show that the points (bc, p), (ca, q) and (ab, r) are collinear.