Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 251-260 of 700 questions.
Which expression is not a polynomial in (y)?
A. \(\frac{5}{y}+2\)
\(\frac{5}{y}\) में (y) की घात (-1) होती है। ऋणात्मक घात के कारण यह बहुपद नहीं है। / In \(\frac{5}{y}\), the power of (y) is (-1). Due to the negative power, it is not a polynomial.
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What is the degree of \(8x^6-3x^4+x-10\)?
D. (6)
बहुपद की घात सबसे बड़ी चर-घात से मिलती है। यहाँ सबसे बड़ी घात (6) है। / The degree of a polynomial is given by the highest power of the variable. Here the highest power is (6).
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Which statement is correct for (p(x)=0)?
C. यह शून्य बहुपद है और इसकी घात परिभाषित नहीं होतीIt is the zero polynomial and its degree is not defined
(p(x)=0) को शून्य बहुपद कहते हैं। इसकी घात परिभाषित नहीं होती। / (p(x)=0) is called the zero polynomial. Its degree is not defined.
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In which expression is the coefficient irrational but the expression is still a polynomial?
B. \(\sqrt{3}x^2-2x+5\)
\(\sqrt{3}\) वास्तविक गुणांक है और स्वीकार्य है। चर की घातें (2), (1) और (0) हैं इसलिए यह बहुपद है। / \(\sqrt{3}\) is a real coefficient and is allowed. The powers of the variable are (2), (1), and (0), so it is a polynomial.
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Which expression is a quadratic polynomial in (x)?
A. \(5x^2-4x+9\)
द्विघात बहुपद की घात (2) होती है। \(5x^2-4x+9\) की सबसे बड़ी घात (2) है। / A quadratic polynomial has degree (2). The highest power in \(5x^2-4x+9\) is (2).
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What will be the degree of \(3x^5+0x^7-2x+4\)?
C. (5)
\(0x^7\) शून्य पद है और घात तय नहीं करता। सबसे बड़ी अशून्य घात (5) है। / \(0x^7\) is a zero term and does not determine the degree. The highest non-zero power is (5).
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Which expression is not a polynomial because the variable has a fractional power?
D. (x^{23}+4)
\(x^{2/3}\) में घात \(\frac{2}{3}\) है जो पूर्णांक नहीं है। बहुपद में घातें शून्य या धनात्मक पूर्णांक होनी चाहिए। / In \(x^{2/3}\), the power is \(\frac{2}{3}\), which is not an integer. Polynomial powers must be non-negative integers.
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Which polynomial is a cubic polynomial?
A. \(4x^3-6x+1\)
घन बहुपद की घात (3) होती है। \(4x^3-6x+1\) में सबसे बड़ी घात (3) है। / A cubic polynomial has degree (3). The highest power in \(4x^3-6x+1\) is (3).
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What type of polynomial is (12) considered?
C. स्थिर बहुपदConstant polynomial
(12) में कोई चर नहीं है इसलिए यह स्थिर बहुपद है। शून्य से अलग स्थिर बहुपद की घात (0) होती है। / (12) has no variable, so it is a constant polynomial. A non-zero constant polynomial has degree (0).
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Which expression is not a polynomial because (x) is in the denominator?
B. \(\frac{x+5}{x}\)
\(\frac{x+5}{x}=1+\frac{5}{x}\) में \(\frac{5}{x}\) की घात (-1) है। इसलिए यह बहुपद नहीं है। / \(\frac{x+5}{x}=1+\frac{5}{x}\) contains \(\frac{5}{x}\), whose power is (-1). So it is not a polynomial.
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