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.
Showing 541-550 of 604 questions.
What is obtained after simplifying \(4x^2-3xy+2y^2+5xy-7y^2-x^2\)?
A. \(3x^2+2xy-5y^2\)
\(4x^2-x^2=3x^2\), (-3xy+5xy=2xy), और \(2y^2-7y^2=-5y^2\)। / \(4x^2-x^2=3x^2\), (-3xy+5xy=2xy), and \(2y^2-7y^2=-5y^2\).
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If (x=3), what is the value of (2x(x-5)+4x-2)?
B. (24)
पहले सरल करें (2x(x-5)+4x-2=6x-2-10x)। (x=3) रखने पर (54-30=24)। / First simplify (2x(x-5)+4x-2=6x-2-10x). Substituting (x=3) gives (54-30=24).
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After simplifying \(3x^2y+2xy^2-5x^2y+8xy^2\), what will be the coefficient of \(x^2y\)?
B. (-2)
\(x^2y\) वाले पद \(3x^2y\) और \(-5x^2y\) हैं। इनका योग \(-2x^2y\) है। / The \(x^2y\) terms are \(3x^2y\) and \(-5x^2y\). Their sum is \(-2x^2y\).
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Which expression has the simplified form \(4x^2-9x\)?
A. (x(4x-9))
(x(4x-9)) खोलने पर \(4x^2-9x\) मिलता है। विकल्प जाँचने के लिए वितरण नियम लगाएँ। / Expanding (x(4x-9)) gives \(4x^2-9x\). Use the distributive rule to check options.
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If (p+q=6) and (p-q=2), what is the value of (3p-q)?
C. (10)
दोनों समीकरणों से (p=4) और (q=2) मिलता है। इसलिए (3p-q=12-2=10)। / The two equations give (p=4) and (q=2). Therefore, (3p-q=12-2=10).
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What is obtained by subtracting \(2a^2+5ab-b^2\) from \(5a^2-2ab+3b^2\)?
A. \(3a^2-7ab+4b^2\)
घटाने पर \(5a^2-2ab+3b^2-2a^2-5ab+b^2\) मिलता है। सरल रूप \(3a^2-7ab+4b^2\) है। / Subtraction gives \(5a^2-2ab+3b^2-2a^2-5ab+b^2\). The simplified form is \(3a^2-7ab+4b^2\).
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C. (3)
स्थिर पद (3) है। उसे हटाने पर \(2x^2+5x\) बचेगा जिसमें (2) चर पद हैं। / The constant term is (3). Removing it leaves \(2x^2+5x\), which has (2) variable terms.
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If (x=-1), (y=2), what is the value of \(x^2y^2-2xy\)?
C. (8)
\(x^2y^2=1\cdot4=4\) और (2xy=2(-1)(2)=-4)। इसलिए (4-(-4)=8)। / \(x^2y^2=1\cdot4=4\) and (2xy=2(-1)(2)=-4). Therefore, (4-(-4)=8).
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Which option is equal to (2(3x-y)+4(x+2y)-5x)?
A. (5x+6y)
खोलने पर (6x-2y+4x+8y-5x) मिलता है। समान पद मिलाकर (5x+6y) बनेगा। / Expanding gives (6x-2y+4x+8y-5x). Combining like terms gives (5x+6y).
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What is the difference between the total degree and the power of (y) in \(x^3y^2\)?
C. (3)
कुल घात (3+2=5) है और (y) की घात (2) है। अंतर (5-2=3) होगा। / The total degree is (3+2=5), and the power of (y) is (2). The difference is (5-2=3).
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