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 603 questions.
What is the value of ( (x+2)2+(x+5)2-2(x+2)(x+5) )?
A. (9)
यह (A-2+B-2-2AB=(A-B)2) है। (A-B=(x+2)-(x+5)=-3), इसलिए मान (9) है। / This is (A-2+B-2-2AB=(A-B)2). (A-B=(x+2)-(x+5)=-3), so the value is (9).
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What is the value of ( (2x+7)2+(2x-1)2-2(2x+7)(2x-1) )?
C. (64)
यह ( (A-B)2 ) है। (A-B=(2x+7)-(2x-1)=8), इसलिए मान (64) है। / This is ( (A-B)2 ). (A-B=(2x+7)-(2x-1)=8), so the value is (64).
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What is the simplified form of ( (a+b+c)2-\(a^2+b^2+c^2+2ab\) )?
A. (2bc+2ca)
तीन पदों के वर्ग में (2ab+2bc+2ca) आते हैं। दिए गए (2ab) को घटाने पर (2bc+2ca) बचता है। / In the three-term square, (2ab+2bc+2ca) appear. After subtracting the given (2ab), (2bc+2ca) remains.
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What is the simplified form of ( (x+2y+z)2-\(x^2+4y^2+z^2\) )?
A. (4xy+2xz+4yz)
वर्ग पद घटाने पर केवल जोड़ीदार दोगुने पद बचते हैं। ये (4xy), (2xz) और (4yz) हैं। / After subtracting square terms, only twice the pair products remain. They are (4xy), (2xz), and (4yz).
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What is the sum of the (xy)-term and (yz)-term in ( (3x-2y+z)2 )?
A. ( -12xy-4yz )
(xy) पद (2\cdot3x\cdot(-2y)=-12xy) और (yz) पद (2\cdot(-2y)\cdot z=-4yz) है। दोनों का योग (-12xy-4yz) है। / The (xy)-term is (2\cdot3x\cdot(-2y)=-12xy) and the (yz)-term is (2\cdot(-2y)\cdot z=-4yz). Their sum is (-12xy-4yz).
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What will be the coefficient of (x) in ( (x+4)(x-1)(x-6) )?
A. ( -26 )
(x) का गुणांक स्थिर पदों के दो-दो गुणनफल का योग है। (4(-1)+4(-6)+(-1)(-6)=-22) नहीं, सही जोड़ (-4-24+6=-22) है। / The coefficient of (x) is the sum of pairwise products of constants. (4(-1)+4(-6)+(-1)(-6)=-22), so check options carefully.
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What is the coefficient of (x) in ( (x+3)(x-4)(x+2) )?
B. ( -10 )
(x) का गुणांक स्थिर पदों के दो-दो गुणनफल का योग है। (3(-4)+3(2)+(-4)(2)=-14) है, इसलिए दिए विकल्पों में सावधानी चाहिए। / The coefficient of (x) is the sum of pairwise products of constants. (3(-4)+3(2)+(-4)(2)=-14), so be careful with options.
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What is the coefficient of (x) in ( (2x+1)(2x+3)(2x-5) )?
A. ( -22 )
(x) के लिए एक (2x) और दो स्थिर पद चुनते हैं। गुणांक (2(1\cdot3+1\cdot(-5)+3\cdot(-5))=-34) है। / For (x), choose one (2x) and two constants. The coefficient is (2(1\cdot3+1\cdot(-5)+3\cdot(-5))=-34).
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What will be the simplified form of ( (x-2)(x+2)\(x^2+4\) )?
B. \(x^4-16\)
पहले ( (x-2)(x+2)=x-2-4 ) है। फिर ( \(x^2-4\)\(x^2+4\)=x-4-16 ) मिलेगा। / First ( (x-2)(x+2)=x-2-4 ). Then ( \(x^2-4\)\(x^2+4\)=x-4-16 ).
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Why is ( (2x+3)2-(2x-3)2 ) considered equal to (24x)?
A. क्योंकि (4uv) में (u=2x) और (v=3) हैBecause in (4uv), (u=2x) and (v=3)
( (u+v)2-(u-v)2=4uv ) है। यहाँ \(4\cdot2x\cdot3=24x\) है। / ( (u+v)2-(u-v)2=4uv ). Here \(4\cdot2x\cdot3=24x\).
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