Q3. If n is positive integer, then 2n \lfloor n + 1/2 \rfloor =
- (1) ∏r=1n (2r-1)
- (2) ∏r=1n (2r + 1)√(π)
- (3) ∏r=1n (2r-1)√(π)
- (4) ∏r=1n (2r + 3)√(π)
College Lecturer 2014 Mathematics-II Question Paper PDF | RPSC
- Year 2014
- Conducted By RPSC
- Questions 150
- Duration 3 Hours
- Languages Hindi & English
Exam Details
| Detail | Information |
|---|---|
| Examination | College Lecturer Exam |
| Year | 2014 |
| Conducting Body | RPSC |
| Paper | Mathematics-II |
| Subject | Mathematics |
| Duration | 3 Hours |
| Number of Questions | 150 |
| Question Type | Objective (MCQ) |
This is the question paper for the College Lecturer Examination held in 2014, specifically for the Mathematics-II paper conducted by the Rajasthan Public Service Commission (RPSC). The exam was designed to recruit lecturers and featured 150 objective questions to be answered within 3 hours. Aspirants can use this paper to understand the exam's scope, difficulty level, and the types of mathematical concepts tested, aiding their preparation for similar competitive examinations.
Major Topics Covered
- Mathematics
- Calculus
- Beta Function
- Gauss Hypergeometric Equation
- Legendre Function
Why This Paper is Important
- Useful for College Lecturer Exam preparation
- Helps understand the latest exam pattern
- Useful for practice and self-assessment
- Covers frequently asked General Studies topics
- Helpful for analysing question trends
Related Resources
- College Lecturer 2016 Mathematics-II Question Paper
- College Lecturer 2014 Mathematics-I Question Paper
- RPSC Assistant Professor Mathematics Question Paper
- College Lecturer 2014 Mathematics-II Answer Key
- College Lecturer Mathematics Syllabus
- RPSC Lecturer Exam Syllabus
- College Lecturer Exam Pattern
- RPSC Exam Pattern
Instructions
- यदि B(m, n) बीटा फलन है, तो \int_{5}^{7} (x-5)^{6} (7-x)^{3} dx = 2^{10}B(6, 3) 1)
- 2^{10}B(7, 4) 2^{10}B(6, 4) 3) 2^{10}B(7, 3)
- 2^{10}B(7, 4) 2^{10}B(6, 4) 3) 2^{10}B(7, 3) 4) 1/57
Questions (page 2)
Q4. Which statement is true for Gauss hypergeometric equation x(1-x)(d2y)/(dx2) + \c-(1 + a + b)x\(dy)/(dx) - aby = 0 :
- (1) It has three regular singular points x = 0, 1, -1.1) x=0,;1,;-1 इसके तीन नियमित विचित्र बिन्दु है ।
- (2) It has three regular singular points x = 0, 1 and ∞.2) x = 0, 1 तथा ∞ इसके तीन नियमित विचित्र बिन्दु है ।
- (3) It has two regular singular points x = 0, 1.3) x = 0, 1 इसके दो नियमित विचित्र बिन्दु है।
- (4) It has no singular point.4) इसका कोई विचित्र बिन्दु नहीं है।
Q5. Which statement is true for Legendre Function of first kind Pn(x) :
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Frequently asked questions
What is the name of the exam?
The exam is the College Lecturer Exam.
What year was this College Lecturer exam conducted?
This exam was conducted in 2014.
Which conducting body organized the College Lecturer exam?
The exam was conducted by the Rajasthan Public Service Commission (RPSC).
What is the subject of this specific paper?
This paper is for Mathematics-II.
What is the total duration allowed for the exam?
The time allowed for the exam is 3 Hours.
How many questions were there in this paper?
There were 150 questions in this paper.