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Assertion (A): If the number of zeros are less than the number of poles (i.e. Z < P), we say that there are zeros at infinity and the order of such zeros is P-Z
Reason (R): The value of the transfer function becomes zero for s tends to zero.
  • a)
    Both A and R are true and R is a correct explanation of A.
  • b)
    Both A and R are true but R is not a correct explanation of A.
  • c)
    A is true but R is false.
  • d)
    A is false but R is true.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Assertion (A): If the number of zeros are less than the number of pole...
For Z < P, 

∴ Here, number of zeros = 1 and no. of poles = 2
∴ P - Z = 1
When s →∞, transfer function becomes zero. Thus, there is one zero (P - Z = 1) at infinity. Thus, assertion is true.
Since value of transfer function becomes zero as s →∞ therefore, reason is false.
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Most Upvoted Answer
Assertion (A): If the number of zeros are less than the number of pole...
Value of a TF when s tends to a pole value is zero and when s tends to zero value then it is infinity so reason is false.
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Assertion (A): If the number of zeros are less than the number of pole...
Assertion (A): If the number of zeros are less than the number of poles (i.e. Z < p)="" in="" a="" transfer="" function,="" the="" system="" is="" />

Reasoning: In a transfer function, the poles represent the values of s for which the transfer function becomes infinite or the system response becomes unstable. On the other hand, the zeros represent the values of s for which the transfer function becomes zero or the system response becomes stable. Therefore, if the number of zeros is less than the number of poles (Z < p),="" there="" are="" fewer="" unstable="" points="" in="" the="" system="" compared="" to="" stable="" points.="" this="" implies="" that="" the="" system="" is="" />

Therefore, Assertion (A) is true.
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Assertion (A): If the number of zeros are less than the number of poles (i.e. Z < P), we say that there are zeros at infinity and the order of such zeros is P-ZReason (R): The value of the transfer function becomes zero for s tends to zero.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'C'. Can you explain this answer?
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Assertion (A): If the number of zeros are less than the number of poles (i.e. Z < P), we say that there are zeros at infinity and the order of such zeros is P-ZReason (R): The value of the transfer function becomes zero for s tends to zero.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Assertion (A): If the number of zeros are less than the number of poles (i.e. Z < P), we say that there are zeros at infinity and the order of such zeros is P-ZReason (R): The value of the transfer function becomes zero for s tends to zero.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): If the number of zeros are less than the number of poles (i.e. Z < P), we say that there are zeros at infinity and the order of such zeros is P-ZReason (R): The value of the transfer function becomes zero for s tends to zero.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'C'. Can you explain this answer?.
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