Find the value of the determinant `|b cc a a b p q r1 1 1|,w h e r ea ,b ,a n dc` are respectively, the pth, qth, and rth terms of a harmonic progression.

The value of the determinant |(bc,ca,ab),(p,q,r),(1,1,1)| , where a, b and c respectively the pth,qth and rth terms of a H.P., is

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 p,q,r are in AP then prove that pth,qth and rth terms of any GP are in GP.

The value of |[yz, z x,x y],[ p,2p,3r],[1, 1, 1]|,w h e r ex ,y ,z are respectively, pth, (2q) th, and (3r) th terms of an H.P. is a.-1 b. 0 c. 1 d. none of these

If p,q,r are in A.P.show that the pth,qth and rth terms of any G.P.are in G.P.

If p,q, and r are inA.P.show that the pth qth,and rth terms of any G.P.are in G.P.

If a,b,c be the pth , qth and rth terms of an A.P., then p(b-c) + q(c-a) + r(a-b) equals to :