If `a gt 0,bgt 0,cgt0 and 2a +b+3c=1`, then

If agt0,bgt0,cgt0anda+b+c=abc, then tan^(-1)a+tan^(-1)+tan^(-1)c

Let agt0, bgt0, cgt0 and a+b+c=6 then ((ab+1)^(2))/(b^(2))+((bc+1)^(2))/(c^(2))+((ca+1)^(2))/(a^(2)) may be

Let agt0, bgt0, cgt0 and a+b+c=6 then ((ab+1)^(2))/(b^(2))+((bc+1)^(2))/(c^(2))+((ca+1)^(2))/(a^(2)) may be

If agt0, bgt0, cgt0 and the minimum value of a^2(b+c)+b^2(c+a)+c^2(a+b) is kabc, then k is (A) 1 (B) 3 (C) 6 (D) 4

If agt0, bgt0, cgt0 and the minimum value of a^2(b+c)+b^2(c+a)+c^2(a+b) is kabc, then k is (A) 1 (B) 3 (C) 6 (D) 4

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 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 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of a^(4)b^(2)c^(2)"_____" .

If 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of a^(4)b^(2)c^(2)"_____" .