In the given reaction,

The number of $$\pi$$ electrons present in the product 'P' is _________.

Let $$\alpha$$ be a root of the equation 1 + x² + x⁴ = 0. Then, the value of $$\alpha$$¹⁰¹¹ + $$\alpha$$²⁰²² $$-$$ $$\alpha$$³⁰³³ is equal to :

Let arg(z) represent the principal argument of the complex number z. Then, |z| = 3 and arg(z $$-$$ 1) $$-$$ arg(z + 1) = $${\pi \over 4}$$ intersect :

Let $$A = \left( {\matrix{ 2 & { - 1} \cr 0 & 2 \cr } } \right)$$. If $$B = I - {}^5{C_1}(adj\,A) + {}^5{C_2}{(adj\,A)^2} - \,\,.....\,\, - {}^5{C_5}{(adj\,A)^5}$$, then the sum of all elements of the matrix B is