Q3. If z = x sin^{-1} left( rac{x}{y} ight) + an^{-1} left( rac{y}{x} ight), then x2 rac{partial2 z}{partial x2} + 2xy rac{partial2 z}{partial x partial y} + y2 rac{partial2 z}{partial y2} is given by
- (1) -z
- (2) z
- (3) 2z
- (4) 0
SET 2012 Mathematical Science Paper III Question Paper PDF | RPSC
- Year 2012
- Conducted By RPSC
- Questions 75
- Maximum Marks 150
- Duration 2.5 Hours
- Languages Hindi & English
Exam Details
| Detail | Information |
|---|---|
| Examination | State Eligibility Test |
| Year | 2012 |
| Conducting Body | RPSC |
| Paper | Mathematical Science - Paper-III |
| Subject | Mathematical Science |
| Duration | 2.5 Hours |
| Maximum Marks | 150 |
| Number of Questions | 75 |
| Question Type | Objective (MCQ) |
This is the question paper for the State Eligibility Test (SET) 2012, Paper III, conducted by RPSC for Mathematical Science. The paper consists of 75 objective questions and is allocated a maximum of 150 marks, with a time limit of 2.5 hours. Aspirants can use this paper to understand the exam structure, question difficulty, and marking scheme, which is crucial for effective preparation for the SET examination.
Major Topics Covered
- Mathematical Science
- Sequences
- Limits
- Continuity
- Partial Derivatives
Why This Paper is Important
- Useful for STATE ELIGIBILITY TEST 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
- SET 2011 Mathematical Science Paper III
- SET 2013 Mathematical Science Paper III
- RPSC Assistant Professor Mathematics Previous Year Papers
- SET 2012 Mathematical Science Paper III Answer Key
- SET Mathematical Science Syllabus
- RPSC SET Syllabus
- SET Exam Pattern
- RPSC SET Exam Pattern
Instructions
- If there is any sort of ambiguity/mistake either of printing or factual nature then out of Hindi and English Version of the question, the English Version will be treated as standard, Warning : If a candidate is found copying or if any unauthorised material is found in his/her possession, F.I.R. would be lodged against himmer in the Police Station and he/she would liable to be prosecuted under Section 3 of the R.P.E. (Prevention of Unfairmeans) Act,
- Commission may also debar him/her permanently from all future examinations of the Commission. निरेश सभी प्रश्नों के उत्तर दीजिए ।
- प्रत्येक प्रश्न का केवल एक ही उत्तर दीजिए। з. एक से अधिक उत्तर देने की दशा में प्रश्न के उत्तर को गलत माना जाएगा ।
- प्रत्येक प्रश्न के चार वैकल्पिक उत्तर दिये गये हैं, जिन्हें क्रमशः 1, 2, 3, 4 अंकित किया गया हैं।
- को काला करें । गलत उत्तर के लिए ऋणात्मक अंकन नहीं किया आएगा ।
- प्रश्न-पत्र पुस्तिका एवं उत्तर पत्रक के लिफाफे की सील खोलने पर परीक्षार्थी यह सुनिश्चित कर लें कि उसके प्रश्न–पत्र पुस्तिका एवं उत्तर पत्रक पर समान रूप से अनुक्रमांक, विषय कोड एवं प्रश्न पुरितका की सीरीज अंकित है ।
- इसमें कोई भिन्नता हो तो वीशक से प्रश्न–पत्र की ही सीरीज वाला दूसरा प्रश्न–पत्र का लिफाफा प्राप्त कर लें ।
- ऐसा न करने पर जिम्मेदारी अभ्यर्थी की होगो ।
- मोबाईल फोन अथवा इलेक्ट्रोनिक यंत्र का परीक्षा हॉल में प्रयोग पूर्णतया बर्जित है।
- यदि किसी अभ्यर्थी के पास ऐसी कोई बर्जित 8, सामग्री मिलती है तो उसके विरुद्ध आयोग द्वारा नियमानुसार कार्यवाही की जायेगी।
- अभ्यर्थी अपने साथ उत्तर पत्रक की संलग्न कार्बन प्रति अपने साथ ले जा सकते हैं ।
- यदि किसी प्रश्न में किसी प्रकार की कोई मुद्रण या तथ्यालक प्रकार की त्रुटि हो तो प्रश्न के हिन्दी तथा अंग्रेजी रूपान्तरों में से अंग्रेजी रूपान्तर मान्य होगा ।
- चेतावनी : अपर कोई अभ्यर्थी नकल करते पकड़ा जाता है या उसके पास से कोई अनधिकृत सामग्री पाई जाती है, तो उस अभ्यर्थी के विरुद्ध पुलिस में प्राथमिकी दर्ज कराई जायेगी और आर. पी. ई. (अनुचित साधनों की रोकथाम) अधिनियम, 1992 के नियम \Omega 3 के तहत कार्यवाही की जायेगी।
- साथ ही आयोग ऐसे अभ्यर्थी को भविष्य में होने वाली आयोग की समस्त परीक्षाओं से विवर्जित कर सकता है। |||||||||||||||||||||||||||||||||||||| 16/MSPS33 A] 1 in St
- Only one answer is to be given for each question,.
- If more than one answers are marked, it would be treated as wrong answer.
- Each question has four alternative responses marked serially as 1, 2, 3, 4. You have to darken the correct answer.
- There will be no negative marking for wrong answer.
- The candidate should ensure that Roll Number, Subject Code and Series Code on the Question Paper Booklet and Answer Sheet must be same after opening the envelopes.
- In case they are different, a candidate must obtain another Question Paper of the same series.
- Candidate himself shall be responsible for ensuring this.
- Mobile Phone or any other electronic gadget in the examination hall is strictly prohibited.
- A candidate found with any of such objectionable material with him/her will be strictly dealt as per rules.
- The candidate will be allowed to carry the carbon print-out of OMR Response Sheet with them on conclusion of the examination.
Questions (page 2)
Q16. Which of the following statements is correct for the sequence {xn}, where xn = 1 + (-1)^n + rac{1}{2n} ?
- (1) lim \sup \xn\ = 0, lim \inf \xn\ = 0
- (2) प्रथम प्रकार की असंतता
- (3) द्वितीय प्रकार की असंतता
- (4) lim \sup \xn\ = 1/2, lim \inf \xn\ = -1/2
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Frequently asked questions
What is the full name of the exam?
The full name of the exam is State Eligibility Test (SET).
Which year is this question paper from?
This question paper is from the year 2012.
Who conducted the SET 2012 exam?
The SET 2012 exam was conducted by RPSC.
What is the subject of this paper?
The subject of this paper is Mathematical Science.
What is the paper number?
This is Paper-III.
How many questions are there in the paper?
There are 75 questions in the booklet.