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.

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

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

If a,b,c be the pth, qth and rth term respectively of H.P. show that the vectors bc veci+pvecj+veck, ca veci+q vecj+veck and ab veci+r vecj+veck are coplanar.

If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(bc,p,1),(ca,q,1),(ab,r,1)|= (A) 0 (B) 1 (C) -1 (D) none of these

If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(bc,p,1),(ca,q,1),(ab,r,1)|= (A) 0 (B) 1 (C) -1 (D) none of these

If a,b,c are pth, qth rth terms respectivelyy of a G.P then |(loga, p, 1),(logb, q, 1),(logc, r, 1)|=

If a, b, c be the pth, qth and rth term of both an A.P. and G.P., then show that - a^(b-c).b^(c-a).c^(a-b)=1 .

If a,b,c are positive and are the pth, qth rth terms respectively of a GP then |(loga,p,1),(logb,q,1),(logc, r,1)|=

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