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 481-490 of 850 questions.
Which expansion is correct in the model of a square with side (x-7)?
B. \(x^2-14x+49\)correct model
दो (7x) पट्टियां घटती हैं और (49) कोना जुड़ता है। परीक्षा में (-2ab) मध्य पद याद रखें। / Two (7x) strips are removed and the (49) corner is added. In exams remember the middle term (-2ab).
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An (x+4) by (x+6) rectangle is compared with an (x+5) by (x+5) square. Which area is larger?
B. वर्ग (1) से बड़ा हैsquare is larger by (1)
आयत \(x^2+10x+24\) और वर्ग \(x^2+10x+25\) है। परीक्षा में समान भाग काटकर अंतर देखें। / The rectangle is \(x^2+10x+24\) and the square is \(x^2+10x+25\). In exams cancel common parts and compare the difference.
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If \(x^2+16x+64\) is a square model, what is the outer side?
B. (x+8)correct side
\(64=8^2\) और मध्य \(16x=2\cdot x\cdot8\) है। परीक्षा में अंतिम पद से स्थिर भुजा निकालें। / \(64=8^2\) and the middle \(16x=2\cdot x\cdot8\). In exams find the constant side from the last term.
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In which model can \(25-y^2\) be shown as a difference of squares?
A. भुजा (5) वाले वर्ग से भुजा (y) वाला वर्ग हटानाremove square of side (y) from square of side (5)
\(25=5^2\), इसलिए (25-y-2=(5-y)(5+y)) है। परीक्षा में संख्या वर्ग की भुजा पहचानें। / Since \(25=5^2\), (25-y-2=(5-y)(5+y)). In exams identify the side of the numerical square.
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A rectangle model has sides (2x+3) and (x+4). What will be the total area?
A. \(2x^2+11x+12\)correct total
खाने \(2x^2\), (8x), (3x), और (12) हैं जिनका योग \(2x^2+11x+12\) है। परीक्षा में चारों खाने जोड़ें। / The cells are \(2x^2\), (8x), (3x), and (12), whose sum is \(2x^2+11x+12\). In exams add all four cells.
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In a square with side (3x-2), what will be the small corner and the middle area?
A. (4) और (-12x)correct values
कोना \(2^2=4\) और मध्य क्षेत्रफल \(-2\cdot3x\cdot2=-12x\) है। परीक्षा में घटाव चिन्ह पर ध्यान दें। / The corner is \(2^2=4\) and the middle area is \(-2\cdot3x\cdot2=-12x\). In exams pay attention to the subtraction sign.
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Which visual model can give the factorization of \(x^2+18x+80\)?
A. भुजाएं (x+8) और (x+10) वाला आयतrectangle with sides (x+8) and (x+10)
(8+10=18) और \(8\cdot10=80\), इसलिए यही सही आयत मॉडल है। परीक्षा में मध्य और स्थिर पद दोनों मिलाएं। / Since (8+10=18) and \(8\cdot10=80\), this is the correct rectangle model. In exams match both the middle and constant terms.
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A. (4x+8)correct difference
((x+2)2=x-2+4x+4) और ((x+2)(x-2)=x-2-4), इसलिए अंतर (4x+8) है। परीक्षा में दोनों मॉडल अलग-अलग फैलाएं। / ((x+2)2=x-2+4x+4) and ((x+2)(x-2)=x-2-4), so the difference is (4x+8). In exams expand both models separately.
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A square model has \(x^2\), (kx), (kx), and (36). If the perfect square side is (x+6), what is (k)?
C. (6)each strip coefficient
हर समान पट्टी (6x) है, इसलिए (k=6) है। परीक्षा में कुल मध्य पद और अलग पट्टी में फर्क रखें। / Each equal strip is (6x), so (k=6). In exams distinguish total middle term from each strip.
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In a square with side (a+2b), what will be the total rectangular area involving (b)?
B. (4ab)correct rectangular area
दो आयतों का कुल \(2\cdot a\cdot2b=4ab\) है। परीक्षा में (2b) को पूरा दूसरा भाग मानें। / The total of two rectangles is \(2\cdot a\cdot2b=4ab\). In exams treat (2b) as the whole second part.
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