What is the question type for this paper?

The question type is objective, with four alternative responses for each question.

Is there any negative marking?

Yes, 1/3 part of the mark(s) of each question will be deducted for each wrong answer.

What is the paper code for Mathematics-I?

The paper code for Mathematics-I is 47.

What should a candidate do if the question paper booklet number differs from the answer sheet number?

If there is any difference, the candidate must obtain another Question Paper Booklet from the Invigilator. The candidate is responsible for ensuring this.

What is the language of the question paper?

The question paper is available in both Hindi and English. In case of ambiguity, the English version will be treated as standard.

Can electronic gadgets be used during the exam?

No, mobile phones or any other electronic gadgets are strictly prohibited in the examination hall.

Asst. Prof. Mathematics Paper-I 2020 RPSC Question Paper PDF

Name: Asst. Prof. Mathematics Paper-I 2020 RPSC Question Paper PDF
Creator: RPSC

Rajasthan Government Jobs Professor 2020

Year 2020
Conducted By RPSC
Questions 150
Maximum Marks 75
Duration 3 Hours
Languages Hindi & English

Exam Details

Detail	Information
Examination	Asst. Prof. (College Education) 2020
Year	2020
Conducting Body	RPSC
Paper	Paper-I (Mathematics-I)
Subject	Mathematics
Duration	3 Hours
Maximum Marks	75
Number of Questions	150
Question Type	Objective (MCQ)

This is the official question paper for the Asst. Prof. (College Education) examination 2020, Paper-I, focusing on Mathematics-I. Conducted by RPSC, the exam allows 3 hours to answer 150 objective questions for a maximum of 75 marks. Aspirants preparing for the Rajasthan Public Service Commission recruitment can use this paper to understand the exam pattern, difficulty level, and types of questions asked in Mathematics. Practicing with this previous year's paper is crucial for effective preparation.

Major Topics Covered

Mathematics
Conic Sections
Parabola
Polar Equations

Why This Paper is Important

Useful for Asst. Prof. (College Education) 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

Asst. Prof. (College Education) 2020 Paper-II Mathematics
Asst. Prof. (College Education) 2020 Paper-III Mathematics
RPSC Grade I Teacher Mathematics Previous Year Paper
Asst. Prof. (College Education) 2020 Paper-I Mathematics Answer Key
RPSC Asst. Prof. Mathematics Syllabus
College Education Recruitment Syllabus
RPSC Asst. Prof. Exam Pattern
College Education Professor Exam Pattern

Instructions

प्रत्येक प्रश्न का केवल एक ही उत्तर दीजिए ।
If more than one answers are marked, it would be treated as 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 क्रमश: 1, 2, 3,
Each question has four alternative responses marked serially 4 अंकित किया गया है ।
अभ्यर्थी को सही उत्तर निर्दिष्ट करते हुए उनमें as 1, 2, 3,
You have to darken only one circle or bubble से केवल एक गोले अथवा बबल को उत्तर पत्रक पर नीले बॉल indicating the correct answer on the Answer Sheet using BLUE खाइंट पेन से गहरा करना है । BALL POINT PEN.
OMR उत्तर पत्रक इस परीक्षा पुस्तिका के अन्दर रखा है । जब आपको The OMR Answer Sheet is inside this Test Booklet. When
you are directed to open the Test Booklet, take out the परीक्षा पुस्तिका खोलने को कहा जाए, तो उत्तर-पत्रक निकाल कर Answer Sheet and fill in the particulars carefully with blue ध्यान से केवल नीले बॉल पॉइंट पेन से विवरण भरें । ball point pen only.
प्रत्येक गलत उत्तर के लिए प्रश्न अंक का 1/3 भाग काटा जायेगा ।
गलत 1/3 part of the mark(s) of each question will be उत्तर से तात्पर्य अशुद्ध उत्तर अथवा किसी भी प्रश्न के एक से अधिक
deducted for each wrong answer. A wrong answer means उत्तर से है ।
किसी भी प्रश्न से संबंधित गोले या बबल को खाली छोड़ना an incorrect answer or more than one answers for any गलत उत्तर नहीं माना जायेगा । question. Leaving all the relevant circles or bubbles of any
मोबाइल फोन अथवा इलेक्ट्रोनिक यंत्र का परीक्षा हॉल में प्रयोग पूर्णतया question blank will not be considered as wrong answer. वर्जित है ।
यदि किसी अभ्यर्थी के पास ऐसी कोई वर्जित सामग्री
Mobile Phone or any other electronic gadget in the examination hall is strictly prohibited. A candidate found मिलती है तो उसके विरुद्ध आयोग द्वारा नियमानुसार कार्यवाही को with any of such objectionable material with him/her will be जायेगी । strictly dealt as per rules.
कृपया अपना रोल नम्बर ओ,एम.आर. पत्रक पर सावधानीपूर्वक सही Please correctly fill your Roll Number in O.M.R. Sheet. भरें ।
गलत अथवा अपूर्ण रोल नम्बर भरने पर 5 अंक कुल प्राप्तांकों में
5 Marks can be deducted for filling wrong or incomplete Roll से काटे जा सकते हैं। Number.
यदि किसी प्रश्न में किसी प्रकार की कोई मुद्रण या तथ्यात्मक प्रकार की
If there is any sort of ambiguity/mistake either of printing or त्रुटि हो तो प्रश्न के हिन्दी तथा अंग्रेजी रूपान्तरों में से अंग्रेजी रूपान्तर factual nature then out of Hindi and English Version of the question, the English Version will be treated as standard. मान्य होगा ।
चेतावनी: अग़र कोई अभ्यर्थी नकल करते पकड़ा जाता है या उसके पास Warning : If a candidate is found copying or if any unauthorized material is found in his/her possession, F.I.R. would be lodged से कोई अनधिकृत सामग्री पाई जाती है, तो उस अभ्यर्थी के विरुद्ध पुलिस में against him/her in the Police Station and he/she would liable to be प्राथमिकी दर्ज कराते हुए विविध नियमों-प्रावधानों के तहत कार्यवाही की prosecuted. Department may also debar him/her permanently जाएगी ।
साथ ही विभाग ऐसे अभ्यर्थी को भविष्य में होने वाली विभाग की from all future examinations. समस्त परीक्षाओं से विवर्जित कर सकता है ।
इस परीक्षा पुस्तिका को तब तक न खोलें जब तक कहा न जाए । Do not open this Test Booklet until you are asked to do so. 47 - 11

Only one answer is to be given for each question.

Questions (page 2)

Q1. The condition that the straight line (l)/(r) = A cos θ + B sin θ may touch the circle r = 2a cos θ is

(a) B^2a² + Ala = l²
(b) B^2a² - Ala = l²
(c) B^2a² - 2AIa = l²
(d) B^2a² + 2AIa = l²

Q2. The polar equation of the parabola is equal to

(a) r = l \sec (θ)/(2)
(b) r = l \sec² (θ)/(2)
(c) r = (l)/(2) \sec² (θ)/(2)
(d) r = 2l \sec² (θ)/(2)

Q3. The PSP' is a chord of a conic (l)/(r) = 1 + e cos θ, focus is S and semi latus rectum is l, then (1)/(SP) + (1)/(SP') is equal to

(a) (1)/(l)
(b) (2)/(l)
(c) (4)/(l)
(d) (8)/(l)

Question paper preview

Scanned pages 1–2 for reference. Download the official PDF for the full paper.

Asst. Prof. (College Education) 2020 Mathematics Paper-I question paper page 1 instructions scan PDF download RPSC — Page 1

Free question paper download

Download question paper PDF

3.8 MB
48 pages
PDF format

Frequently asked questions

What is the full name of the exam?

The full name of the exam is Asst. Prof. (College Education) 2020.

Which conducting body organized this exam?

This exam was conducted by RPSC (Rajasthan Public Service Commission).

What is the subject of Paper-I?

Paper-I is Mathematics-I.

What is the maximum marks for this paper?

The maximum marks for this paper are 75.

How much time is allotted for the exam?

The time allowed for the exam is 3.00 hours.

How many questions are there in the booklet?

There are 150 questions in the booklet.

← Back to Professor papers