LTI system 1.1

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Common Data 

For an LTI system, input is x[n] and output y[n], when
a) input is $(-2)^n$ then output is 0 for all n
b) input is $ (1/2)^n u(n) $  the output is $\delta(n)+ a \times (1/4)^n u(n)$

Determine y(n) for x(n) =1 for the above system
(a)1
(b)-1
(c)0
(d)none of these

Determine value of 'a' for the above data
(a)-9/8
(b)9/8
(c)4/5
(d)none of above
Answer is ( )

Concept

Type Reasoning here