Q0. वक्र y = a log \sec (x)/(a) ), के लिए y-अक्ष के समान्तर वक्रता जीवा की लम्बाई बराबर है -
- (1) a
- (2) 2a
- (3) 3a
- (4) 4a
College Lecturer 2014 Mathematics-I Question Paper PDF | RPSC
- Year 2014
- Conducted By RPSC
- Questions 150
- Duration 3 Hours
- Languages English & Hindi
Exam Details
| Detail | Information |
|---|---|
| Examination | College Lecturer Exam |
| Year | 2014 |
| Conducting Body | RPSC |
| Paper | Mathematics-I |
| 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 for the Mathematics-I paper, conducted by the Rajasthan Public Service Commission (RPSC). The exam allowed 3 hours to answer 150 objective questions. Aspirants preparing for the RPSC College Lecturer recruitment can use this paper to understand the exam pattern, difficulty level, and the types of questions asked in Mathematics-I. Studying previous year papers is crucial for effective preparation.
Major Topics Covered
- Calculus
- Differential Geometry
- Mathematics
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 2014 Mathematics-II Question Paper
- College Lecturer 2016 Mathematics-I Question Paper
- RPSC Assistant Professor Mathematics Previous Year Papers
- College Lecturer 2014 Mathematics-I Answer Key
- RPSC Mathematics Answer Key
- College Lecturer Mathematics Syllabus
- RPSC Lecturer Exam Syllabus
- College Lecturer Exam Pattern
Instructions
- None of these वक्र f(x,y) = 0 तथा g(x,y)=0 परस्पर स्पर्श करते है , तो स्पर्श बिंदु पर:- 1)\frac{\partial f}{\partial x} \cdot \frac{\partial f}{\partial y} = \frac{\partial g}{\partial x} \cdot \frac{\partial g}{\partial y}
- दीर्घवृत\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 की अधिकतम वक्रता होगी:- 2a/b 1) 2) 2b/a a/2b 3) b/2a
- Ques # : 3 For the curve y = a \log \left( \sec \frac{x}{a} \right), the chord of curvature parallel to y - axis is equal to - 1) a 2) 2a 3) 3a 4) 4a 1/65
Questions (page 2)
Q4.
- (1) f(y)/(x))
- (2) xg(y)/(x))
- (3) u
- (4) 0
Q5. If u = \phi(x - y, y - z, z - x), then (\partial u)/(\partial x) + (\partial u)/(\partial y) + (\partial u)/(\partial z) is equal to :-
- (1) 0
- (2) 1
- (3) u
- (4) xyz
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Frequently asked questions
What is the name of the exam?
The exam is the College Lecturer Exam.
Which year is this question paper from?
This question paper is from the year 2014.
Who conducts the College Lecturer Exam?
The exam is conducted by the Rajasthan Public Service Commission (RPSC).
What is the subject of this paper?
The subject of this paper is Mathematics-I.
What is the total time allowed for the exam?
The time allowed for the exam is 3 Hours.
How many questions were asked in the exam?
There were 150 questions in the exam.