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 521-530 of 850 questions.
In a square of side (4x+3), what is the total area of both mixed strips?
A. (24x)
दोनों पट्टियाँ \(4x\cdot3\) और \(4x\cdot3\) हैं। परीक्षा में मिश्रित पट्टियों को दोगुना करें। / Both strips are \(4x\cdot3\) and \(4x\cdot3\). In exams, double the mixed strips.
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A rectangle has sides (2x+1) and (x+5). What is the correct expansion of the area model?
B. \(2x^2+11x+5\)
भाग \(2x^2\), (10x), (x) और (5) हैं। परीक्षा में (10x+x=11x) करें। / The parts are \(2x^2\), (10x), (x), and (5). In exams, combine (10x+x=11x).
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If a rectangle is formed by (3y+2) and (y+4), what will be the constant corner?
B. (8)
स्थिर कोना \(2\cdot4=8\) है। परीक्षा में स्थिर भागों को ही गुणा करें। / The constant corner is \(2\cdot4=8\). In exams, multiply only the constant parts.
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In the rectangle model of (3y+2) and (y+4), what is the total (y)-term?
C. (12y)
रैखिक भाग (12y) और (2y) हैं इसलिए कुल (14y) होता है। सही विस्तार \(3y^2+14y+8\) है। / The linear parts are (12y) and (2y), so the total is (14y). The correct expansion is \(3y^2+14y+8\).
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A visual model has a rectangle with (x+10) and (x-10). Which part cancels?
A. (10x) और (-10x)(10x) and (-10x)
समान पर विपरीत चिह्न वाले (10x) भाग कटते हैं। परीक्षा में संयुग्म भुजाओं में रैखिक पद कटता है। / The equal but opposite (10x) parts cancel. In exams, the linear terms cancel in conjugate sides.
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If a model is made for a square of side (5a+2), what will be the total area?
B. \(25a^2+20a+4\)
(5a) और (2) की दो मिश्रित पट्टियाँ कुल (20a) देती हैं। परीक्षा में गुणांक सहित वर्ग करें। / Two mixed strips of (5a) and (2) give total (20a). In exams, square with coefficients.
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Which expansion is correct from the visual model of a square with side (2p-7)?
C. \(4p^2-28p+49\)
मध्य पद \(-2\cdot2p\cdot7=-28p\) है। परीक्षा में घटाई गई दोनों पट्टियों को शामिल करें। / The middle term is \(-2\cdot2p\cdot7=-28p\). In exams, include both removed strips.
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A model shows \(x^2+17x+72\) as a rectangle. Which sides are correct?
A. (x+8) और (x+9)(x+8) and (x+9)
(8+9=17) और \(8\cdot9=72\) है। परीक्षा में दोनों स्थिर चौड़ाइयों को जाँचें। / (8+9=17) and \(8\cdot9=72\). In exams, check both constant widths.
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If a square model is made for \(v^2+20v+100\), what will be the side of the square?
C. (v+10)
\(100=10^2\) और \(20v=2\cdot v\cdot10\) है। परीक्षा में स्थिर वर्ग का वर्गमूल लें। / \(100=10^2\) and \(20v=2\cdot v\cdot10\). In exams, take the square root of the constant square.
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In a square model of (k+3), if the combined area of both strips is (24), what is the value of (k)?
B. (4)
दोनों पट्टियाँ मिलकर (6k) देती हैं और (6k=24) है। परीक्षा में संयुक्त पट्टियों को मध्य पद से जोड़ें। / Both strips together give (6k), and (6k=24). In exams, connect combined strips with the middle term.
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