Q1. [1] § 2.1 Introduction § 2.2 Geometrical Meaning of the Zeroes of a Polynomial § 2.4 Summary
Assertion (A) : Degree of a zero polynomial is not defined.
Reason (R) : Degree of a non-zero constant polynomial is 0.
Select the correct answer from the codes (A), (B), (C) and (D) given below.
- A Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- C Assertion (A) is true, but Reason (R) is false.
- D Assertion (A) is false, but Reason (R) is true.
Previously asked in CBSE board exam
2024 30/5/1 Q20
Generated by claude-sonnet-4-6 · 2026-06-15 10:34 · grounding rag
Model Answer
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
The degree of a zero polynomial is not defined, and the degree of a non-zero constant polynomial is 0 — both are true, but R does not explain why A is true.
Explanation
- A is true: The zero polynomial has all coefficients zero, so no highest power of x can be determined; its degree is undefined.
- R is true: A non-zero constant like 5 = 5x⁰ has degree 0.
- R does not explain A: The reason why the zero polynomial's degree is undefined is unrelated to the degree of a non-zero constant polynomial. These are two separate facts, so the answer is (B).
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