For `a,b,cgt0`, and `a+b+c = 2`, and the maximum value of `a^2b^2c^2` is `k`, then `[k]=?` (where [.] is G.I.F.)

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

If a+b+c=3 and agt0,bgt0,cgt0 then the greatest value of a^(2)b^(2)c^(2) is

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+2b+3c=1 and a>0,b>0,c>0 and the greatest value of a^(3)b^(2)c is (1)/(k) then (k-5180) is

a,b,cgt0 and a+b+c=12 . If a^(2)b^(4)c^(3) is maximum then (4a)/(b) is

Statement 1 a+b+c=18(a,b,cgt0) , then the maximum value of abc is 216. Statement 2 Maximum value occurs when a=b=c .

If a, cgt0 such that a^3+b^3=2 , then show that a+ble 2 .

If A+B+C=180^(@) and tan A+tan B+tan C>=k where A,B,C are acute angles,then the value of [k] where [I^(*)] denotes G.I.F,is