Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 171-180 of 650 questions.
What is the degree of the polynomial ((x-1)(x+1))?
B. (2)
गुणनफल \(x^2-1\) है। इसमें सबसे बड़ी घात (2) है। / The product is \(x^2-1\). Its highest power is (2).
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If a polynomial has degree (0), what type of non-zero polynomial can it be?
C. नियतांक बहुपदConstant polynomial
डिग्री (0) वाला अशून्य बहुपद नियतांक होता है। शून्य बहुपद की डिग्री परिभाषित नहीं होती। / A non-zero polynomial of degree (0) is constant. The degree of the zero polynomial is not defined.
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If (f(x)=x-4-2x-4+x-4+3x-5), what is the degree of (f(x))?
C. (1)
\(x^4-2x^4+x^4=0\) हो जाता है। बचा हुआ (3x-5) डिग्री (1) का है। / \(x^4-2x^4+x^4=0\). The remaining (3x-5) has degree (1).
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What is the total degree of the polynomial \(2x^3y^2+5xy-7\)?
C. (5)
पद \(2x^3y^2\) की कुल घात (3+2=5) है। यही सबसे बड़ी कुल घात है। / The total power of the term \(2x^3y^2\) is (3+2=5). This is the highest total power.
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What is the total degree of \(4x^2y^3-3xy^2+9\)?
B. (5)
पहले पद की कुल घात (2+3=5) है। इसलिए बहुपद की कुल डिग्री (5) है। / The total power of the first term is (2+3=5). Therefore the total degree of the polynomial is (5).
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With respect to (x), what is the degree of \(3x^2y^4+7xy-1\)?
B. (2)
(x) के संदर्भ में (y) को गुणांक जैसा माना जाता है। (x) की सबसे बड़ी घात (2) है। / With respect to (x), (y) is treated like a coefficient. The highest power of (x) is (2).
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With respect to (y), what is the degree of \(3x^2y^4+7xy-1\)?
C. (4)
(y) की सबसे बड़ी घात (4) है। इसलिए (y) के संदर्भ में डिग्री (4) है। / The highest power of (y) is (4). Therefore the degree with respect to (y) is (4).
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What is the degree of \(0x^8+0x^4+5\)?
C. (0)
शून्य गुणांक वाले पद हट जाते हैं और (5) बचता है। (5) अशून्य नियतांक बहुपद है जिसकी डिग्री (0) है। / Terms with zero coefficients disappear and (5) remains. (5) is a non-zero constant polynomial of degree (0).
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If the degree of ((t-1)x-3+(t+2)x-2+4) is (2), which value of (t) can be correct?
A. (t=1)
डिग्री (2) के लिए \(x^3\) पद हटना चाहिए और \(x^2\) पद बचना चाहिए। (t=1) पर दोनों शर्तें पूरी होती हैं। / For degree (2), the \(x^3\) term must vanish and the \(x^2\) term must remain. At (t=1), both conditions hold.
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If (u=-2), what is the degree of ((u+2)x-5+\(u^2-1\)x-4+x)?
B. (4)
(u=-2) पर \(x^5\) का गुणांक (0) और \(x^4\) का गुणांक (3) होता है। इसलिए डिग्री (4) है। / At (u=-2), the coefficient of \(x^5\) is (0) and the coefficient of \(x^4\) is (3). Therefore the degree is (4).
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