Consider the following statements regarding a linear system

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Consider the following statements regarding a linear system y = f(x₁)
1. f (x₁ + x₂) = f (x₁) + f (x₂)
2. f [x (t + T)] = f [x (t)] + f [x (T)]
3. f (Kx) = Kf (x).
Of these statements

1. 1, 2 and 3 are correct
2. 1 and 2 are correct
3. 3 alone is correct
4. 1 and 3 are correct

Correct Option: D

y = f(x) is a linear system, then
f (x₁ + x₂) = f (x₁) + f (x₂)
f (Kx) = Kf(x)