CATAlgebra > Hard12\frac{1}{2}21222−2-2−212\frac{1}{2}21✅ Correct Option: 2Related questions:CAT 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 isCAT 2018 Slot 2Let a1,a2,…,a52a_{1}, a_{2}, \ldots, a_{52}a1,a2,…,a52 be positive integers such that a1<a2<…<a52a_{1}<a_{2}<\ldots<a_{52}a1<a2<…<a52. Suppose, their arithmetic mean is one less than the arithmetic mean of a2,a3a_{2}, a_{3}a2,a3, …,a52\ldots, a_{52}…,a52. If a52=100a_{52}=100a52=100, then the largest possible value of a1a_{1}a1 isCAT 2020 Slot 2For real x,x,x, the maximum possible value of x1+x4\frac{x}{\sqrt{1+x^4}}1+x4x is