[" Q "72" If "x>0,y>0,z>0" are respectively "],[" the "m^(" th "),n^(" th "),o^(" th ")" terms of a "GP" ,ther "],[" the value of the determinant "]

If a gt0, bgt0,cgt0 are respectively the p^("th"),q^("th"),r^("th") terms of a G.P.,. Then the value of the determinant |{:(loga, p,1),(logb,q,1),(logc,r,1):}| is

If x,y,z are respectively p^(th), q^(th) and r^(th) terms of a G.P show that x^(q-r) xx y^(r-p) xx z^(p-q)=1 .

If 4^(th), 7^(th), 10^(th) terms of a G.P. are p, q, r respectively then

If a, b, c are respectively the p^(th)q^(th)andr^(th) terms of a GP. Show that (q-r)loga+(r-p)logb+(p-q)logc=0 .

If the p^(th), q^(th) and r^(th) terms of a GP. Are again in G.P., then which one of the following is correct?

If a b c are the p^(th),q^(th) and r^(th) terms of an AP then prove that sum a(q-r)=0

If the m^(th),n^(th)andp^(th) terms of an A.P. and G.P. be equal and be respectively x,y,z, then