JPSC FRO Mathematics Paper-I Main Exam Question Paper PDF

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  • Conducted By JPSC
  • Maximum Marks 200
  • Duration 3 Hours
  • Languages Hindi & English

Exam Details

Detail Information
Examination FOREST RANGE OFFICER, MAIN EXAMINATION
Conducting Body JPSC
Paper Mathematics Paper-I
Subject Mathematics
Duration 3 Hours
Maximum Marks 200
Question Type Descriptive / Subjective

This document contains the Mathematics Paper-I for the JPSC Forest Range Officer (FRO) Main Examination. The paper is divided into two sections, Section A and Section B, with a total of 200 marks and a time limit of 3 hours. Section A consists of four compulsory subjective questions, each carrying 10 marks. Section B offers seven optional subjective questions, from which candidates must answer any four, each worth 40 marks. This paper is crucial for candidates aspiring to become Forest Range Officers under the Jharkhand Public Service Commission (JPSC).

Major Topics Covered

  • Complex Numbers
  • Transformations
  • Group Theory
  • Straight Lines
  • Coordinate Geometry
  • Analytical Geometry

Why This Paper is Important

  • Useful for FOREST RANGE OFFICER, MAIN EXAMINATION 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

  • JPSC FRO Main Examination General Studies Paper-I
  • JPSC FRO Main Examination General Studies Paper-II
  • JPSC FRO Main Examination Mathematics Paper-II
  • JPSC FRO Mathematics Paper-I Answer Key
  • JPSC FRO Main Examination Answer Key
  • JPSC FRO Main Examination Syllabus
  • JPSC Mathematics Syllabus
  • JPSC FRO Main Examination Pattern

Instructions

  • पूर्णांक : 200 समय : 3 घण्टे Full Marks: 200 Time: 3 Hours निर्देश : प्रश्न–पत्र दो खण्डों में विभक्त है।
  • परीक्षार्थी को खण्ड–अ से चार अनिवार्य और खण्ड–ब से चार विषयनिष्ठ वैकल्पिक प्रश्नों का उत्तर देना है।
  • खण्ड–अ के अनिवार्य प्रश्न में 4 विषयनिष्ठ प्रश्न हैं जिसमें प्रत्येक विषयनिष्ठ प्रश्न के 10 अंक हैं।
  • इसके अतिरिक्त खण्ड–ब के 7 विषयनिष्ठ वैकल्पिक प्रश्नों में से किन्हीं 4 विषयनिष्ठ प्रश्न का उत्तर दें जिनमें प्रत्येक प्रश्न के 40 अंक हैं।
  • वैकल्पिक प्रश्नों का उत्तर वर्णनात्मक रूप से लिखें। Instructions: The question paper is divided into two sections. The candidates will be required to answer Four compulsory Subjective questions from Section - A and four optional subjective questions from Section - B. There shall be compulsory Four Subjective type questions, each of 10 marks. In additional, there shall be 7 optional subjective questions in Section - B, of which candidates will be required to answer only 4 subjective questions, each of 40 marks. The optional questions shall be answered in the descriptive form. FRO3-MT [1] PTO

Questions (page 2)

Section A

Q1. दर्शाइए कि समिश्र संख्याओं के समुच्चय पर परिभाषितf_1, f2, . . f6छह रूपान्तरण
Show that the set of six transformations f1, f2, dots, f6 on the set of complex numbers defined by।

(a) f1(x) = x, f2(x) = (1)/(x), f3(x) = 1-x, f4(x) = (x)/(1-x), f5(x) = (1)/(1-x), f6(x) = (x-1)/(x) (जैसा कि प्रश्न में परिभाषित है) संयोजन संक्रिया के सापेक्ष कोटि 6 का एक सीमित अविनिमेय समूह बनाते है।
forms a finite no-abelian group of order 6 w.r.t. composite operation.

Section A

Q2. सीधी रेखा का ढ़ाल अवरोध रूप ज्ञात कीजिए। तत्पश्चात उस सीधी रेखा का समीकरण ज्ञात करें। जो बिन्दू
Derive the equation of a straight line in the slop intercept form. Hence, obtain the equation of straight line passing through the point

(a) (2,-1) से होकर जाती है तथा धनात्मक x-axis की दिशा में 45° का कोण बनाती है।
(2, -1) and making an angle of 45\circ with the positive direction of x-axis.

(b) उस सीधी रेखा का समीकरण ज्ञात कीजिए जो निम्नलिखित रेखाओं
Find the equation of a straight line which passes through the point of intersection of the lines
2x-3y+5=0 तथा x+y-1=0
2x-3y+5=0 and x+y-1=0
के प्रतिच्छेदन बिन्दु से होकर गुजरती है और रेखा
and is perpendicular to the line
3x + 4y - 7 = 0 पर लम्ब है।
3x + 4y - 7 = 0

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Frequently asked questions

What is the name of the examination?

The examination is the FOREST RANGE OFFICER, MAIN EXAMINATION.

Which paper is this question paper for?

This is for Mathematics Paper-I.

Who conducts the JPSC FRO Main Examination?

The examination is conducted by JPSC.

What is the maximum marks for Mathematics Paper-I?

The maximum marks for this paper are 200.

What is the time duration allowed for this paper?

The time allowed for this paper is 3 Hours.

How is the question paper divided?

The question paper is divided into two sections: Section A and Section B.

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