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 61-70 of 700 questions.
In \(2x^3+x^2+4\), which term has the highest power?
A. \(2x^3\)
सबसे बड़ी घात (3) है। यह \(2x^3\) पद में है। / The highest power is (3). It is in the term \(2x^3\).
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What is the expression \(4x^2+\sqrt{5}x-9\)?
A. बहुपदPolynomial
\(\sqrt{5}\) वास्तविक गुणांक है और (x) की घात (1) है। इसलिए यह बहुपद है। / \(\sqrt{5}\) is a real coefficient and the power of (x) is (1). Therefore it is a polynomial.
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What is the expression \(\sqrt{x}+5x^2\)?
C. बहुपद नहींNot a polynomial
\(\sqrt{x}\) को \(x^{\frac{1}{2}}\) लिखा जा सकता है। भिन्न घात होने से यह बहुपद नहीं है। / \(\sqrt{x}\) can be written as \(x^{\frac{1}{2}}\). Due to the fractional power, it is not a polynomial.
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What is the constant term in the polynomial \(12x^3\)?
C. (0)
इस बहुपद में बिना चर वाला पद नहीं है। इसलिए नियतांक पद (0) माना जाता है। / This polynomial has no term without a variable. So the constant term is taken as (0).
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What is the coefficient of \(x^4\) in the polynomial \(x^5+x^3+x\)?
D. (0)
इस बहुपद में \(x^4\) पद नहीं है। इसलिए \(x^4\) का गुणांक (0) है। / The term \(x^4\) is not present in this polynomial. So the coefficient of \(x^4\) is (0).
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A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) हैYes, because \(x^0=1\) and the power of (x) is (1)
\(x^0\) की घात (0) है जो मान्य है। इसलिए \(x^0-4x\) बहुपद है। / The power in \(x^0\) is (0), which is valid. Therefore \(x^0-4x\) is a polynomial.
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Is \(\frac{3x}{5}+2\) a polynomial in (x)?
B. हां, क्योंकि (x) की घात (1) हैYes, because the power of (x) is (1)
\(\frac{3x}{5}\) में (x) की घात (1) है और गुणांक \(\frac{3}{5}\) है। भिन्न गुणांक बहुपद में मान्य है। / In \(\frac{3x}{5}\), the power of (x) is (1) and the coefficient is \(\frac{3}{5}\). A fractional coefficient is valid in a polynomial.
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Is \(-\frac{2}{3}x^3+4\) a polynomial?
A. हां, क्योंकि गुणांक वास्तविक संख्या हो सकते हैंYes, because coefficients can be real numbers
गुणांक भिन्न या ऋणात्मक हो सकते हैं। यहां चर की घात (3) मान्य है। / Coefficients can be fractional or negative. Here the variable power (3) is valid.
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Which expression is not a polynomial because the variable has power \(\frac{4}{5}\)?
B. \(x^{\frac{4}{5}}+2\)
\(\frac{4}{5}\) भिन्न घात है। बहुपद में चर की घात पूर्ण संख्या होनी चाहिए। / \(\frac{4}{5}\) is a fractional power. In a polynomial, the variable power must be a whole number.
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What is the degree of \(6x^2-x+11\)?
C. (2)
सबसे बड़ी घात (2) है। इसलिए इस बहुपद की डिग्री (2) है। / The highest power is (2). Therefore the degree of this polynomial is (2).
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