Question: Consider the following statements regarding a linear system (y=f(x)) : 1. (fleft(x_{1}+x_{2} ight)=fleft(x_{1} ight)+fleft(x_{2} ight)) 2. (f[x(t+T)]=f[x(t)]+f[x(T)]) 3. (f(K x)=K f(x)) Of these statements: (a)

Consider the following statements regarding a linear system \(y=f(x)\) :
1. \(f\left(x_{1}+x_{2}\right)=f\left(x_{1}\right)+f\left(x_{2}\right)\)
2. \(f[x(t+T)]=f[x(t)]+f[x(T)]\)
3. \(f(K x)=K f(x)\)

Of these statements:
(a) 1,2 and 3 are correct
(b) 1 and 2 are correct
(c) 2 alone is correct
(d) 1 and 3 are correct.

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