JPSC Accounts Officer Mathematics Paper-I 2019 Question Paper PDF

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  • Conducted By JPSC
  • Questions 10
  • Maximum Marks 200
  • Languages Hindi & English

Exam Details

Detail Information
Examination ACCOUNTS OFFICER (Main EXAMINATION)
Conducting Body JPSC
Paper Mathematics Paper-I
Subject Mathematics
Maximum Marks 200
Number of Questions 10
Question Type Mixed

This document contains the Mathematics Paper-I for the ACCOUNTS OFFICER (Main EXAMINATION) conducted by JPSC. The paper has a maximum of 200 marks and consists of 10 questions, out of which candidates are required to attempt any five. Each question carries 40 marks. This paper is crucial for aspirants preparing for the JPSC Accounts Officer recruitment, providing a clear understanding of the subject matter and question types expected in the main examination. The paper includes a mix of objective and descriptive questions, covering topics like linear transformations, matrices, eigenvalues, and calculus.

Major Topics Covered

  • Linear Transformations
  • Matrices
  • Eigenvalues
  • Cayley-Hamilton Theorem
  • Calculus
  • Geometry
  • Vector Spaces

Why This Paper is Important

  • Useful for ACCOUNTS 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

Instructions

  • 15 Prove that T is a linear transformation. (i) Find the matrix of T relative to ordered bases B_1 and B_2 where B_1 = \{(1, 0, 0), (ii) 15 (0, 0, 1), (0, 1, 0)} and B2 = {(1, 0), (0, 1)}. (iii) Find rank of matrix [T] B_1, B_2 where B_2 = \{(1, -1), (1, 1)\}. 10 मान लिया कि \rm T: \mathbb{R}^3 \to \mathbb{R}^2 एक फलन है जो \rm T (x,\,y,\,z) = (2x,\,3y) द्वारा दिया गया है, तो सिद्ध करें कि T एक रेखीय रूपांतर (लीनियर ट्रांसफार्मेशन) है ।
  • (i) क्रमित आधारों B, और B2 के सापेक्ष T का आव्यूह ज्ञात करें जहाँ B1 = {(1, 0, 0), (0, 0, 1), (ii) (0, 1, 0)} और B2 = {(1, 0), (0, 1)} है ।
  • (iii) आव्यूह [T] B1, B2 का रैंक ज्ञात करें जहाँ B2 = {(1,-1), (1, 1)} P.T.O. ACOME19 (05)

Questions (page 2)

Q2.

(a) Find A^-1 by using Cayley-Hamilton's theorem, where A = eginpmatrix 1 & 2 \ 0 & 2 endpmatrix.
कैले-हैमिल्टन प्रमेय के अनुप्रयोग द्वारा A^-1 का मान ज्ञात करिए, जहाँ A = eginpmatrix 1 & 2 \ 0 & 2 endpmatrix.

(b) Also express 2A4 - 3A3 + 9A2 - 7A + 5I2 as a linear polynomial in A, where A = eginpmatrix 1 & 2 \ 0 & 2 endpmatrix.
व्यंजक 2A4 – 3A3 + 9A2 – 7A + 5I2 को A में रेखीय बहुपद के रूप में भी व्यक्त कीजिए, जहाँ A = eginpmatrix 1 & 2 \ 0 & 2 endpmatrix

(a) सिद्ध करिए कि किसी भी आइडेम्पोटेन्ट मैट्रिक्स का आइगेन मान 2 से भिन्न होता है ।

Q3.

(a) Prove that $
rac{pi}{4} +
rac{3}{25} < an^{-1}
rac{4}{3} <
rac{1}{6}$.
सिद्ध करें कि

(b) Evaluate lim_{x o 0} rac{x - an x}{x3}.
मान ज्ञात करें lim_{x o 0} rac{x - an x}{x3}.

(c) Find the volume within the cylinder x2 + y2 = a2 between the planes y + z = b2 and z = 0.
समतलों y + z = b2 और z = 0 के बीच बेलन x2 + y2 = a2 के भीतर का आयतन ज्ञात करें ।

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Frequently asked questions

What is the name of the exam?

The exam is the ACCOUNTS OFFICER (Main EXAMINATION).

Which paper is this question paper for?

This is for Mathematics Paper-I.

Who is the conducting body?

The conducting body is JPSC.

What is the maximum marks for this paper?

The maximum marks for this paper is 200.

How many questions are there in total?

There are 10 questions in total.

How many questions need to be attempted?

Candidates need to attempt any five questions.

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