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 (x-2\(x^2-3\)-x-4+2x)?
B. \(-3x^2+2x\)
(x-2\(x^2-3\)=x-4-3x-2), फिर \(-x^4\) से \(x^4\) कटता है। सरल रूप \(-3x^2+2x\) है। / (x-2\(x^2-3\)=x-4-3x-2), then \(-x^4\) cancels \(x^4\). The simplified form is \(-3x^2+2x\).
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What type of polynomial is the simplified form \(-3x^2+2x\)?
B. द्विघात बहुपदQuadratic polynomial
सरल रूप में सबसे बड़ी घात (2) है। इसलिए यह द्विघात बहुपद है। / In the simplified form, the highest power is (2). Therefore it is a quadratic polynomial.
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If (h=1), what will be the degree of ((h-1)x-6+(h+2)x-3-4x+9)?
B. (3)
(h=1) रखने पर \(x^6\) का गुणांक (0) हो जाता है। बची हुई सबसे बड़ी घात (3) है। / Putting (h=1) makes the coefficient of \(x^6\) equal to (0). The remaining highest power is (3).
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For which value will the degree of ((2a+6)x-4+5x-2-1) be (2)?
C. (a=-3)
डिग्री (2) के लिए \(x^4\) का गुणांक (0) होना चाहिए। (2a+6=0) से (a=-3) मिलता है। / For degree (2), the coefficient of \(x^4\) must be (0). From (2a+6=0), we get (a=-3).
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What is obtained by simplifying \(\frac{x^5-x}{x}\) for \(x\neq0\)?
A. \(x^4-1\)
\(x\neq0\) पर \(\frac{x^5}{x}=x^4\) और \(\frac{x}{x}=1\) होता है। इसलिए सरल रूप \(x^4-1\) है। / For \(x\neq0\), \(\frac{x^5}{x}=x^4\) and \(\frac{x}{x}=1\). So the simplified form is \(x^4-1\).
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What is the degree of the simplified form \(x^4-1\)?
D. (4)
\(x^4-1\) में सबसे बड़ी घात (4) है। इसलिए इसकी डिग्री (4) है। / In \(x^4-1\), the highest power is (4). Therefore its degree is (4).
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Which expression is a polynomial but has degree less than (5)?
C. \(3x^4-7x+6\)
\(3x^4-7x+6\) बहुपद है और इसकी डिग्री (4) है। (4), (5) से कम है। / \(3x^4-7x+6\) is a polynomial and its degree is (4). (4) is less than (5).
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When will ((v+1)x-2+(v-2)x+3) become a constant polynomial?
D. कभी नहींNever
नियतांक बनने के लिए (v+1=0) और (v-2=0) दोनों चाहिए। एक ही (v) दोनों शर्तें पूरी नहीं कर सकता। / To become constant, both (v+1=0) and (v-2=0) are required. One value of (v) cannot satisfy both conditions.
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Which option has degree (2) and coefficient of (x) equal to (0)?
A. \(4x^2-9\)
\(4x^2-9\) की डिग्री (2) है और (x) पद अनुपस्थित है। इसलिए (x) का गुणांक (0) है। / \(4x^2-9\) has degree (2), and the (x) term is absent. So the coefficient of (x) is (0).
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Which polynomial is obtained by simplifying \(x^3+\frac{x^2-4}{x-2}\) for \(x\neq2\)?
A. \(x^3+x+2\)
\(\frac{x^2-4}{x-2}=x+2\) जब \(x\neq2\)। इसलिए सरल रूप \(x^3+x+2\) है। / \(\frac{x^2-4}{x-2}=x+2\) when \(x\neq2\). Therefore the simplified form is \(x^3+x+2\).
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