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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What is the degree of \(2t^2-7t+10\)?
C. (2)
सबसे बड़ी घात \(t^2\) में (2) है। इसलिए बहुपद की घात (2) है। / The highest power is (2) in \(t^2\). Therefore, the degree of the polynomial is (2).
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Which is not a constant polynomial?
D. (x+1)
स्थिर बहुपद में चर नहीं होता। (x+1) में (x) है इसलिए यह स्थिर बहुपद नहीं है। / A constant polynomial has no variable. (x+1) contains (x), so it is not a constant polynomial.
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What is the degree of \(4x^3+0x^2-2\)?
C. (3)
\(0x^2\) शून्य पद है इसलिए घात तय नहीं करता। सबसे बड़ा अशून्य पद \(4x^3\) है। / \(0x^2\) is a zero term, so it does not determine the degree. The highest non-zero term is \(4x^3\).
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Which expression is a polynomial although it has no (x)-term?
A. \(3x^4+5\)
बहुपद में सभी घातें होना जरूरी नहीं है। \(3x^4+5\) में घात (4) और (0) हैं जो मान्य हैं। / A polynomial need not contain every power. \(3x^4+5\) has powers (4) and (0), which are valid.
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Why is \(x^2+x^{1/2}+1\) not a polynomial?
B. क्योंकि (x^{12}) की घात पूर्णांक नहीं है / Because the power in \(x^{1 / 2}\) is not an integer
बहुपद में चर की घातें पूर्णांक होनी चाहिए। \(x^{1/2}\) की घात \(\frac{1}{2}\) है इसलिए यह बहुपद नहीं है। / In a polynomial, powers of the variable must be integers. \(x^{1/2}\) has power \(\frac{1}{2}\), so it is not a polynomial.
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Which expression is a polynomial of degree (0)?
B. (8)
शून्य से अलग स्थिर बहुपद की घात (0) होती है। (8) ऐसा ही स्थिर बहुपद है। / A non-zero constant polynomial has degree (0). (8) is such a constant polynomial.
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Which of the following has degree (1)?
A. (9x-4)
(9x-4) में सबसे बड़ी घात (1) है। इसलिए यह घात (1) का बहुपद है। / In (9x-4), the highest power is (1). So it is a polynomial of degree (1).
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Which expression is a polynomial but not a monomial?
B. \(x^2+4\)
\(x^2+4\) बहुपद है और इसमें दो पद हैं। इसलिए यह एकपदी नहीं है। / \(x^2+4\) is a polynomial and has two terms. Therefore, it is not a monomial.
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What type of polynomial is \(2x^3-5x^2+x-1\)?
C. घन बहुपदCubic polynomial
इस बहुपद की सबसे बड़ी घात (3) है। घात (3) वाला बहुपद घन बहुपद कहलाता है। / The highest power of this polynomial is (3). A polynomial of degree (3) is called a cubic polynomial.
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Which term determines the degree of \(x^5+x^2+1\)?
A. \(x^5\)
घात सबसे बड़ी चर-घात से तय होती है। \(x^5\) में सबसे बड़ी घात (5) है। / The degree is determined by the highest power of the variable. The term \(x^5\) has the highest power (5).
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