Let x1(t) and x2(t) be periodic signals with fundamental periods T1 and T2 respectively. Then the fundamental period of x(t)=x1(t)+x2(t) is:
A. LCM of T1 and T2
B. HCF of T1and T2
C. Product of T1 and T2
D. Ratio of T1 to T2
Answer:A
Let x1(t) and x2(t) be periodic signals with fundamental periods T1 and T2 respectively. Then the fundamental period of x(t)=x1(t)+x2(t) is:
A. LCM of T1 and T2 B. HCF of T1and T2 C. Product of T1 and T2 D. Ratio of T1 to T2
Explanation: For the sum of x1(t) and x2(t) to be periodic the ratio of their periods should be a rational number, then the fundamental period is the LCM of T1 and T2.