The periodic signal xt shown in the plot below is the input

The periodic signal x(t) shown in the plot below is the input to an LTI system.....

Please show your work/explain on how to got the answer.

Solution

(D)

FOR AN LTI SYSTEM, IF THE INPUT IS SINUSOIDAL THEN THE INPUT FREQUENCY APPLIED IS SAME AS THE OUTPUT FREQUENCY.ALSO THE OUTPUT SINGNAL WILL BE SINUSOIDAL WITH THE CHANGE IN PHASE SHIFT AND MAGNITUDE.

HENCE, ALL OTHER OPTIONS ARE WRONG