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.
Showing 371-380 of 700 questions.
What are the degree and type of (p(x)=9x-4)?
B. घात (1), रैखिकDegree (1), linear
(9x-4) में सबसे बड़ी घात (1) है। इसलिए यह रैखिक बहुपद है। / The highest power in (9x-4) is (1). Therefore, it is a linear polynomial.
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Which expression is a polynomial of degree (5)?
C. \(2x^5-x^2+3\)
\(2x^5-x^2+3\) में सभी घातें मान्य हैं और सबसे बड़ी घात (5) है। / In \(2x^5-x^2+3\), all powers are valid and the highest power is (5).
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Why is \(x^2+\frac{1}{x^3}+5\) not a polynomial?
C. क्योंकि \(\frac{1}{x^3}=x^{-3}\) हैBecause \(\frac{1}{x^3}=x^{-3}\)
\(\frac{1}{x^3}\) में (x) की घात (-3) है। ऋणात्मक घात के कारण यह बहुपद नहीं है। / In \(\frac{1}{x^3}\), the power of (x) is (-3). Due to the negative power, it is not a polynomial.
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If (p(x)=3x-4+2x-2+1), what is the degree of this polynomial?
D. (4)
सबसे बड़ी घात \(x^4\) में (4) है। इसलिए (p(x)) की घात (4) है। / The highest power is (4) in \(x^4\). Therefore, the degree of (p(x)) is (4).
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Which expression is a polynomial in (z), not asked in (x)?
B. \(4z^3-2z+9\)
\(4z^3-2z+9\) में (z) की घातें (3), (1) और (0) हैं। इसलिए यह (z) में बहुपद है। / In \(4z^3-2z+9\), the powers of (z) are (3), (1), and (0). So it is a polynomial in (z).
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In which expression are the powers of (x) (6), (4), and (0)?
A. \(x^6+3x^4-5\)
\(x^6+3x^4-5\) में (x) की घातें (6), (4) और स्थिर पद के लिए (0) हैं। / In \(x^6+3x^4-5\), the powers of (x) are (6), (4), and (0) for the constant term.
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Which expression is a polynomial with an irrational constant term?
C. \(2x^3-5x+\sqrt{7}\)
\(\sqrt{7}\) एक वास्तविक स्थिर पद है और मान्य है। चर की सभी घातें शून्य या धनात्मक पूर्णांक हैं। / \(\sqrt{7}\) is a real constant term and is allowed. All powers of the variable are non-negative integers.
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Which expression is not a polynomial because it contains \(\log x\)?
A. \(x^2+\log x\)
\(\log x\) चर की शून्य या धनात्मक पूर्णांक घात वाला पद नहीं है। इसलिए यह बहुपद नहीं है। / \(\log x\) is not a term with a non-negative integer power of the variable. Therefore, it is not a polynomial.
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Which statement is correct about (p(x)=0x-3+0x-2+0x)?
C. यह शून्य बहुपद है जिसकी घात परिभाषित नहीं हैIt is the zero polynomial whose degree is not defined
सभी पदों के गुणांक शून्य हैं, इसलिए यह शून्य बहुपद है। शून्य बहुपद की घात परिभाषित नहीं होती। / All terms have zero coefficients, so it is the zero polynomial. The degree of the zero polynomial is not defined.
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Which expression is a polynomial with only even powers?
A. \(x^6-4x^2+9\)
पहले विकल्प में घातें (6), (2) और (0) हैं। ये सभी सम और बहुपद के लिए मान्य हैं। / In the first option, the powers are (6), (2), and (0). All are even and valid for a polynomial.
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