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 171-180 of 600 questions.
What is the correct expansion of ((x-6)2)?
A. \(x^2-12x+36\)
((a-b)2=a-2-2ab+b-2) होता है। इसलिए मध्य पद (-12x) है। / ((a-b)2=a-2-2ab+b-2). Therefore the middle term is (-12x).
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What is the simplified form of ((x+7)(x-7))?
A. \(x^2-49\)
यह ((a+b)(a-b)=a-2-b-2) का रूप है। इसलिए ((x+7)(x-7)=x-2-49) है। / This is of the form ((a+b)(a-b)=a-2-b-2). Hence ((x+7)(x-7)=x-2-49).
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What is the factorized form of \(49x^2-64\)?
A. ((7x-8)(7x+8))
(49x-2-64=(7x)2-82) है। अंतर के वर्ग का नियम लगाएँ। / (49x-2-64=(7x)2-82). Apply the difference of squares identity.
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What is \(x^2+14x+49\) equal to?
A. ((x+7)2)
यह \(x^2+2\cdot x\cdot7+7^2\) है। इसलिए यह ((x+7)2) है। / This is \(x^2+2\cdot x\cdot7+7^2\). Therefore it is ((x+7)2).
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What is \(x^2-16x+64\) equal to?
A. ((x-8)2)
यह \(x^2-2\cdot x\cdot8+8^2\) का रूप है। इसलिए ((x-8)2) सही है। / This is of the form \(x^2-2\cdot x\cdot8+8^2\). Hence ((x-8)2) is correct.
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If (m+n=9) and (mn=18), what is the value of \(m^2+n^2\)?
A. (45)
(m-2+n-2=(m+n)2-2mn=81-36=45)। पहचान का उपयोग गणना को छोटा करता है। / (m-2+n-2=(m+n)2-2mn=81-36=45). Using identities makes calculation shorter.
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If (a-b=5) and (ab=6), what is the value of \(a^2+b^2\)?
C. (37)
(a-2+b-2=(a-b)2+2ab=25+12=37)। सही पहचान चुनना जरूरी है। / (a-2+b-2=(a-b)2+2ab=25+12=37). Choosing the correct identity is important.
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Using an identity, what is the correct value of \(99^2\)?
A. (9801)
(992=(100-1)2=10000-200+1=9801)। निकट संख्या की पहचान तेज गणना देती है। / (992=(100-1)2=10000-200+1=9801). Using a nearby number identity gives quick calculation.
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What is the value of \(102^2\)?
A. (10404)
(1022=(100+2)2=10000+400+4=10404)। ((a+b)2) में मध्य पद न भूलें। / (1022=(100+2)2=10000+400+4=10404). Do not forget the middle term in ((a+b)2).
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Using an identity, what is the value of \(53\cdot47\)?
A. (2491)
(53\cdot47=(50+3)(50-3)=502-32=2491)। यह अंतर के वर्ग का उपयोग है। / (53\cdot47=(50+3)(50-3)=502-32=2491). This uses the difference of squares identity.
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