Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
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Which expression is a polynomial in (s) and has degree (1)?
D. (9s+6)
(9s+6) में सबसे बड़ी घात (1) है। इसलिए यह (s) में रैखिक बहुपद है। / In (9s+6), the highest power is (1). So it is a linear polynomial in (s).
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What is the correct conclusion about \(x^2+2x+1+\sqrt{3}\)?
B. यह बहुपद है और घात (2) हैIt is a polynomial and degree (2)
\(\sqrt{3}\) स्थिर वास्तविक संख्या है और मान्य है। सबसे बड़ी (x)-घात (2) है। / \(\sqrt{3}\) is a constant real number and is allowed. The highest (x)-power is (2).
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In which option is the degree of the polynomial in (x) stated incorrectly?
D. \(x^4+x^2\), घात (2)\(x^4+x^2\), degree (2)
\(x^4+x^2\) में सबसे बड़ी घात (4) है। इसलिए इसकी घात (2) नहीं, (4) है। / In \(x^4+x^2\), the highest power is (4). So its degree is (4), not (2).
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Which expression is a polynomial in (x) and can include \(\pi\) as a coefficient?
A. \(\pi x^2-3x+1\)
\(\pi\) वास्तविक गुणांक है और मान्य है। (x) की घातें (2), (1) और (0) हैं। / \(\pi\) is a real coefficient and is allowed. The powers of (x) are (2), (1), and (0).
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If (g(x)=0), why is it wrong to call it a constant polynomial of degree (0)?
B. क्योंकि (0) की घात परिभाषित नहीं होतीBecause the degree of (0) is not defined
(0) शून्य बहुपद है और उसकी घात परिभाषित नहीं होती। घात (0) केवल अशून्य स्थिर बहुपद की होती है। / (0) is the zero polynomial and its degree is not defined. Degree (0) belongs to non-zero constant polynomials only.
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Which expression is not a polynomial in (x), although it has only two terms?
C. \(x^{-1}+8\)
दो पद होना बहुपद होने की गारंटी नहीं है। \(x^{-1}\) की ऋणात्मक घात के कारण यह बहुपद नहीं है। / Having two terms does not guarantee being a polynomial. Due to the negative power \(x^{-1}\), it is not a polynomial.
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For which (m) will \(x^{m-1}+x^2\) be a polynomial?
C. (m=1)
(m=1) पर (m-1=0) मिलता है। घात (0) बहुपद में मान्य है। / For (m=1), (m-1=0). The power (0) is valid in a polynomial.
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After simplifying \(4x^2+3x+2x^2-3x+1\), what will be its degree?
C. (2)
सरल रूप \(6x^2+1\) है क्योंकि (3x-3x=0)। सबसे बड़ी घात (2) है। / The simplified form is \(6x^2+1\) because (3x-3x=0). The highest power is (2).
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Which expression is a polynomial but not a cubic polynomial?
B. \(5x^4-x+6\)
\(5x^4-x+6\) बहुपद है लेकिन इसकी घात (4) है। इसलिए यह घन बहुपद नहीं है। / \(5x^4-x+6\) is a polynomial but its degree is (4). Therefore, it is not a cubic polynomial.
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If (h(x)=kx-2+3x+2) is the zero polynomial, what is correct about (k)?
C. ऐसा कोई (k) संभव नहीं हैNo such (k) is possible
शून्य बहुपद में सभी गुणांक (0) होने चाहिए। (3x) और (2) के गुणांक शून्य नहीं हैं, इसलिए ऐसा (k) संभव नहीं। / In the zero polynomial, all coefficients must be (0). The coefficients of (3x) and (2) are not zero, so no such (k) is possible.
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