CATAlgebra > Medium111000Infinite222✅ 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) isCAT 2017 Slot 1If a,b,c,a, b, c,a,b,c, and ddd are integers such that a+b+c+d=30a + b + c + d = 30a+b+c+d=30, 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 2023 Slot 2Let k be the largest integer such that the equation (x−1)2+2kx+11=0(x - 1)^2 + 2kx + 11 = 0(x−1)2+2kx+11=0 has no real roots. If y is a positive real number, then the least possible value of k/4y+9yk/4y + 9yk/4y+9y is