If the system of the linear equations x + y + z = 6, x + 2y + 3z = 14 and 2 x + 5y + λz = μ, (λ, μ ∈ R) has a unique solution, then
find the maximum value of f (x).
Find the number of values of t for which the system of equations
has non-trivial solution.
Find the number of real roots of the equation