A signal x(t) = sinc(αt), where α is a real constant, is the input to a linear time invariant system whose impulse response is h(t) = sinc(βt), where β is a real constant. If min(α, β) denotes the minimum of α and β and similarly, max(α, β) denotes the maximum of α and β, and K is a constant, which one of the following statements is true about the $$\left( {{\text{here, }}\sin {\text{c}}\left( {\text{x}} \right) = \frac{{\sin \left( {\pi {\text{x}}} \right)}}{{\pi {\text{x}}}}} \right)$$     output of the system?

A. It will be of the form K sinc(γt) where γ = min(α, β)

B. It will be of the form K sinc(γt) where γ = max(α, β)

C. It will be of the form K sinc(αt)

D. It cannot be a sinc type of signal

Answer: Option A