defence exam Army Havildar SAC Mock Test Series 2025 Mathematics Determinants Evaluation of Determinants
Let α, β be the roots of the equation ax2 + bx + c = 0, a, b, c real and sn = αn + βn and \(\rm \begin{vmatrix}3&1+s_1&1+s_2\\\ 1+s_1&1+s_2&1+s_3\\\ 1+s_2&1+s_3&1+s_4\end{vmatrix}=k\frac{(a+b+c)^2}{a^4}\) then k =
1
b2 - 4ac
2
b2 + 4ac
3
b2 + 2ac
4
4ac - b2