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 obtained by simplifying \(\frac{x^2-4}{x-2}\) for \(x\neq2\)?
B. (x+2)
(\frac{x-2-4}{x-2}=\frac{(x-2)(x+2)}{x-2}=x+2) जब \(x\neq2\)। पहले गुणनखंड बनाएं। / (\frac{x-2-4}{x-2}=\frac{(x-2)(x+2)}{x-2}=x+2) when \(x\neq2\). Factor first.
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What type of polynomial is the simplified form (x+2)?
D. रेखीय बहुपदLinear polynomial
(x+2) में सबसे बड़ी घात (1) है। इसलिए यह रेखीय बहुपद है। / In (x+2), the highest power is (1). Therefore it is a linear polynomial.
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Which expression is a polynomial in (x) but has coefficient of \(x^3\) equal to (0)?
A. \(2x^4-5x^2+1\)
\(2x^4-5x^2+1\) बहुपद है और इसमें \(x^3\) पद अनुपस्थित है। इसलिए \(x^3\) का गुणांक (0) है। / \(2x^4-5x^2+1\) is a polynomial and the \(x^3\) term is absent. So the coefficient of \(x^3\) is (0).
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Which option is a polynomial and all its non-zero variable terms have even powers?
B. \(3x^4-2x^2+9\)
\(3x^4-2x^2+9\) में चर वाले अशून्य पदों की घातें (4) और (2) हैं। दोनों सम और मान्य घातें हैं। / In \(3x^4-2x^2+9\), the non-zero variable term powers are (4) and (2). Both are even and valid powers.
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When will (\(w^2-1\)x-4+(w-1)x-2+6) become a constant polynomial?
A. जब (w=1)When (w=1)
नियतांक बनने के लिए \(w^2-1=0\) और (w-1=0) दोनों चाहिए। दोनों शर्तें साथ में (w=1) पर पूरी होती हैं। / To become constant, both \(w^2-1=0\) and (w-1=0) are needed. Both conditions are satisfied together at (w=1).
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If (z=-2), what will be the degree of ((z+2)x-5+\(z^2-4\)x-3+9x-1)?
C. (1)
(z=-2) पर \(x^5\) और \(x^3\) दोनों के गुणांक (0) हो जाते हैं। बची हुई सबसे बड़ी घात (1) है। / For (z=-2), the coefficients of both \(x^5\) and \(x^3\) become (0). The remaining highest power is (1).
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Which expression is not a polynomial because the variable appears as an exponent?
A. \(2^x+3\)
\(2^x\) में चर घात के स्थान पर है। बहुपद में चर आधार में होता है और उसकी घात अऋणात्मक पूर्णांक होती है। / In \(2^x\), the variable is in the exponent. In a polynomial, the variable is the base with a non-negative integer power.
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Which expression is a polynomial in (x) and has degree (0)?
B. (6y-4)
(x) के संदर्भ में (6y-4) अशून्य नियतांक है। इसलिए यह (x) में डिग्री (0) का बहुपद है। / With respect to (x), (6y-4) is a non-zero constant. Therefore it is a polynomial in (x) of degree (0).
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In \(x^4-4x^2+4\), what are the coefficients of \(x^3\) and (x) respectively?
B. (0) और (0)(0) and (0)
इस बहुपद में \(x^3\) और (x) पद नहीं हैं। इसलिए दोनों गुणांक (0) हैं। / The \(x^3\) and (x) terms are not present in this polynomial. Therefore both coefficients are (0).
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Which option correctly identifies a polynomial with missing powers?
A. \(x^5+x^2+1\) में \(x^4\) और \(x^3\) के गुणांक (0) हैंIn \(x^5+x^2+1\), coefficients of \(x^4\) and \(x^3\) are (0)
अनुपस्थित पदों के गुणांक (0) माने जाते हैं। यहां \(x^4\) और \(x^3\) पद नहीं हैं। / Coefficients of absent terms are taken as (0). Here the \(x^4\) and \(x^3\) terms are absent.
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