Find the number of values of t for which the system of equations
has non-trivial solution.
The given system of equations will have a non-trivial solution if
Clearly âˆ† is a cubic polynomial in t and has 3 roots.
The complex number
If a, b > 0 and
then âˆ† has a local minimum at x equal
If x, y, z are different from zero and
If p + q + r = a + b + c = 0, then the determinant
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 real roots of the equation