Official PYQ · 2026Set 1 · Q6LTI SystemsMCQ1 mark

GATE EC 2026 Set 1 Q6 — LTI Systems

The response of a discrete time system $y[n]$ obeys the following relation:

$y[n]=\frac{5}{6} y[n-1]-\frac{1}{6} y[n-2]+x[n] .$

The input to the system is $x[n]=\delta[n]-\frac{1}{3} \delta[n-1]$ .

Which of the following options is TRUE for $y[n]$ ?

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Answer: A

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Published 10 Oct 2026

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