Mathematics - बीजगणित: 32 MCQs with Answers

बीजगणित - Mathematics
Mathematics - बीजगणित

Mathematics- बीजगणित

बीजगणित से संबंधित बहुविकल्पीय प्रश्न, उत्तर एवं विस्तृत व्याख्या सहित — HTET, CTET एवं अन्य शिक्षक पात्रता परीक्षाओं हेतु।

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Q21. यदि α, β समीकरण x² + x + 1 = 0 के मूल हैं, तो α² + β² = ?

Right Answer: –1

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Q22. हल कीजिए : (a − b)³ + (b − c)³ + (c − a)³ = ?

Right Answer: 3(a − b)(b − c)(c − a)

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Q23. समीकरणों 3 x – 5 y = 7 और –6 x + 10 y = 7 के हल हैं :

Right Answer: कोई हल नहीं

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Q24. यदि x − 2, बहुपद x² + 3ax − 2a का एक गुणनखण्ड है, तो a = ?

Right Answer: 2

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Q25. 31³ + 18³ − 37³ + 210 बराबर है:

Right Answer: −14820

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Q26. यदि x = √7, तो x + 1/x का मान ज्ञात कीजिए।

Right Answer: 8√7/7

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Q27. यदि x = √((2+√3)/(2−√3)), तो x² + x − 9 का मान निर्धारित करें।

Right Answer: 5√3

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Q28. यदि x + 2y = 14 और x − y = 5 है, तो x ज्ञात कीजिए।

Right Answer: 8

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Q29. सरल कीजिए: [1/(7+√2)] + [1/(7−√2)] − [14/(49−2)]

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Q30. मान लीजिए x = √2 + √3, y = √5 + 1, और z = 2√2 + 1; तो निम्न में से कौन सा सत्य है?

Right Answer: x < y < z

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Published: 27 July 2026 | Last Updated: 19 August 2026 |


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