1.

If `(1)/(sqrt(x-1))+(1)/(sqrt(y-1))+(1)/(sqrt(z-1))gt0andx,y,z,` are in G.P., then `(logx^(2))^(-1),(logxz)^(-1),(logz^(2))^(-1)` are inA. A.P.B. G.P.C. H.P.D. none of these

Answer» Correct Answer - C
It is given that
`(1)/(sqrt(x-1))+(1)/(sqrt(y-1))+(1)/(sqrt(z-1))gt0rArrxgt1,ygt1,zgt1`
It is also given that x,y,z are in G.P.
`:." "logx,logy,logz` are in A.P. ltbgt `rArr" "2logx,2logy,2logz` are in A.P.
`rArr" "logx^(2),logy^(2)logz^(2)` are in A.P.
`rArr" "(logx^(2))^(-1),(logy^(2))^(-1),(logz^(2))^(-1)`, are in H.P.
`rArr" "(logx^(2))^(-1),(logxz)^(-1),(logz^(2))^(-1)` are in H.P.


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