Q0.
(b) Prove that a quantity which on inner multiplication by an arbitrary vector always gives a tensor, is itself a tensor.
सिद्ध कीजिए एक राशि जिसे एक स्वेच्छ सदिश से आंतर गुणन करने पर एक टेन्सर प्राप्त होता है, स्वयं एक टेन्सर है।
| Detail | Information |
|---|---|
| Examination | Combined Competitive Examinations (CCE) |
| Conducting Body | BPSC |
| Paper | Mathematics |
| Subject | Mathematics |
| Duration | 3 Hours |
| Maximum Marks | 300 |
| Question Type | Descriptive / Subjective |
This is the Mathematics paper for the Combined Competitive Examinations (CCE) conducted by BPSC. The exam allows 3 hours to complete and has a maximum of 300 marks. This paper is crucial for aspirants preparing for administrative and civil services roles under the Bihar government. It features descriptive questions covering advanced mathematical concepts, making it a valuable resource for understanding the exam's difficulty and scope. This previous year Combined Competitive Examinations (CCE) question paper is useful for Administrative / Civil Services aspirants preparing for Bihar government recruitment. The paper was conducted by BPSC and reflects the official exam pattern, marking scheme and difficulty level seen in recent cycles. Use it for timed practice, topic-wise revision and understanding how questions are framed in the real examination. Download the free PDF on QuizCurrent to read instructions, attempt MCQs and compare your answers with the study notes provided on this page. Key syllabus areas include Vector Calculus, Linear Algebra, Differential Equations, Integral Calculus, Geometry, Tensor Calculus. Useful for Combined Competitive Examinations (CCE) preparation. Helps understand the latest exam pattern. Useful for practice and self-assessment.
(b) Prove that a quantity which on inner multiplication by an arbitrary vector always gives a tensor, is itself a tensor.
सिद्ध कीजिए एक राशि जिसे एक स्वेच्छ सदिश से आंतर गुणन करने पर एक टेन्सर प्राप्त होता है, स्वयं एक टेन्सर है।
(a) Prove that ∫0π/2 dθ = (\Gamma(m + 1)/(2)) \Gamma(n + 1)/(2)))/(2 \Gamma(m + n + 2)/(2))); m, n > 0 where \Gamma is gamma function.
सिद्ध कीजिए ∫0π/2 , dθ = (\Gamma(m + 1)/(2)) \Gamma(n + 1)/(2)))/(2 \Gamma(m + n + 2)/(2))); m, n > 0 जहाँ \Gamma गामा फलन है ।
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The exam is the Combined Competitive Examinations (CCE).
The Bihar Public Service Commission (BPSC) conducts this examination.
The subject is Mathematics.
The time allowed for the exam is 3 Hours.
The maximum marks for this paper are 300.
The paper code is 02/GO/CC/M-2025-45.
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