CATAlgebra > Hard12\frac{1}{2}21222−2-2−212\frac{1}{2}21✅ Correct Option: 2Related questions:CAT 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 isCAT 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 2020 Slot 1Among 100100100 students, x1x_{1}x1 have birthdays in January, x2x_{2}x2 have birthday in February, and so on. If x0=max(x1,x2,…,x12)x_{0}=\max \left(x_{1}, x_{2}, \ldots , x_{12}\right)x0=max(x1,x2,…,x12), then the smallest possible value of x0x_{0}x0 is