CATAlgebra > Hard111000Infinite222✅ Correct Option: 2Related questions:CAT 2018 Slot 2Let f(x)=f(x)=f(x)= max{5x5x5x, 52−2x252-2x^252−2x2}, where xxx is any positive real number. Then the minimum possible value of f(x)f(x)f(x) is2025 Slot 2If a,b,ca,b,ca,b,c and ddd are integers such that their sum is 46, then the minimum possible value of (a−b)2+(a−c)2+(a−d)2(a-b)^2 + (a-c)^2 + (a-d)^2(a−b)2+(a−c)2+(a−d)2 isCAT 2022 Slot 1For natural numbers xxx, yyy, and zzz, if xy+yz=19xy + yz = 19xy+yz=19 and yz+xz=51yz + xz = 51yz+xz=51, then the minimum possible value of xyzxyzxyz is