Solved question paper for Math1 Dec-2023 (B-TECH 1st-2nd)
Solved Question Paper
Mathematics-1 Dec-2023
PTU • B-TECH • Mechanical Engineering • 1st-2nd • Dec-2023
Mathematics-1 previous year question papers on BRpaper are organized for students of Punjab Technical University’s Bachelor of Technology program, 1st-2nd semester. This section makes it easier to browse subject-wise old question papers for Mathematics-1, so students can review how questions are typically framed in past exams and get a sense of the exam pattern. Many students search for mathematics-1 question bank while preparing for exams, and this page is built to support exactly that kind of subject-wise browsing and revision. BRpaper is not the official website of Punjab Technical University or any institution, and it does not publish official notices or academic updates.
These Questions are downloaded from www.brpaper.com. You can also download previous years question papers of 10th and 12th (PSEB & CBSE), B-Tech, Diploma, BBA, BCA, MBA, MCA, M-Tech, PGDCA, B-Com, BSc-IT, MSC-IT.
Solved Questions
Solved-
Calculate \(\left(\frac{1}{2}\right)^{\ }\).Very Short Answer 2 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Show that \(\beta(m,n)=\beta(n,m)\).Very Short Answer 2 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Compute \(\displaystyle \lim_{x\to 0}\frac{x\cos x-\sin x}{x^2\sin x}\).Very Short Answer 2 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Dec 2023 Evaluate lim_{x→0} \\frac{x-sin x}{sin x(1-cos x)}.
-
-
If \(A=\begin{bmatrix}0&1\\9&1\end{bmatrix}\) and \(B=\begin{bmatrix}1&2\\5&7\end{bmatrix}\). Compute \(AB\).Very Short Answer 2 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Find the eigen values of the matrix \(\begin{bmatrix}2&3\\5&7\end{bmatrix}\).Very Short Answer 2 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Define symmetric and skew-symmetric matrices.Very Short Answer 2 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Dec 2023 Define skew symmetric matrix with an example.
-
-
State rank and nullity theorem.Very Short Answer 2 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Evaluate \(\int \frac{dx}{x}\).Very Short Answer 2 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Find the rank of the matrix \\r\\n\\
\\\\begin{bmatrix} 3 & 2 & 4 \\\\\\\\ 1 & -2 & 3 \\\\\\\\ -3 & -10 & 1 \\\\end{bmatrix}.\\
Very Short Answer 2 Marks Dec-2023 • PTU B-TECHExisting answers are stored as HTML; you can edit directly without converting to Markdown.
-
Dec 2023 b) Find the rank of the matrix: \\\\[\\\\begin{pmatrix} 4 & 2 & 1 & 3\\\\\\\\ 6 & 3 & 4 & 7\\\\\\\\ 2 & 1 & 0 & 1\\\\end{pmatrix}\\\\]
-
-
State Mean value theorem.Very Short Answer 2 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Find the eigen value and eigen vector of the following matrix \(A=\begin{bmatrix} 1 & 2 \\ 3 & 9 \end{bmatrix}\).Long Answer 8 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Find the maximum and minimum value of \(f(x,y)=xy+\frac{1}{x}+\frac{1}{y}\).Long Answer 8 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Verify Cayley-Hamilton theorem for the matrix \(A=\begin{bmatrix} 1 & 3 & 7 \\ 4 & 2 & 3 \\ 1 & 2 & 1 \end{bmatrix}\).Long Answer 8 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Dec 2023 State Cayley Hamilton\\\'s theorem and verify it for the matrix: \\\\[A=\\\\begin{bmatrix}1&2&2\\\\\\\\0&2&1\\\\\\\\-1&2&2\\\\end{bmatrix}\\\\]
-
-
Find the volume generated by revolving the area bounded by the parabola \(y^{2}=8x\) and its latus rectum about the x-axis.Long Answer 8 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Solve the following system using Gauss elimination \(2x' - 2y = -6,\; x - y + z = 1,\; 3y - 2z = -5\).Long Answer 8 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
a) Find the volume of the solid generated by the revolution of the cardioid \(r^{2}=a^{2}\cos^{2}\theta\) about the line \(\theta=\frac{\pi}{2}.\)Long Answer 8 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
b) Show that \[\int_{0}^{\pi/4} \frac{\sin x}{\sin x+\cos x}\,dx=\frac{\pi}{4}.\]Long Answer 8 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
a) Use Cramer's rule to solve: \(-x+3y-2z=5,\; 4x-y-3z=-8,\; 2x^2+2y-5z=7.\)Long Answer 8 Marks Dec-2023 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
Explore all data
PTU
PU Chandigarh
- BCOM |
- BA/BSC |
- BCA |
- MA |
- PGDCA |
- MCOM |
- MSC-Math |
- Addon |
- BBA |
- B-ARCH |
- B-LIB |
- B-EDU |
- B-PHAR |
- BA-HONS-ECON |
- BA-HONS-SS |
- BE |
- MA-Punjabi |
- MA-English |
- MA-History |
- MCA |
- MBA |
- MBA-CIT |
- MBA-Executive |
- MCOM-AF |
- MCOM-BE |
- MCOM-BI |
- MCOM-MEFB |
- BSC-Agri |
- BSC-FD |
- BSC-HS |
- ME-CSE |
- ME-IT |
- ME-ME |
- ME-ECE |
- MSC-Chemistry |
- MSC-Physics |
- MSC-Botany |
- MSC-Zoology |
- MA-Economics |
- MA-Hindi |
- LLB |
- BPED |
- LLM |
- BFA |
- B. Voc |
- BHM |
- BTM |
- M. Arch |
- M. Pharm |
- MFA |
- MTM |
- MHM |
- M.ED |
- M-Lib |
- MPED |
- MFDM |
- MGL |
- Shastri |
- M.TECH |
- ME-CHEMICAL |
- ME-FT |
- ME-ELECTRIC |
- M.TECH-ME |
- M.TECH-NN |
- M.E-BIO |
- MA-Sociology |
- MA-Political Science |
- MSc Biotechnology |
- MSc IT |
- MSc MB |
PSBTE
- DIPLOMA |
PSEB(School)
- Class 10th |
- Class 12th |
- Class 8th |
PU-PATIALA
- BCA |
- BBA |
- MBA |
- MCOM |
- BCOM |
- BCOM-HONS |
- BSC-NM |
- BA |
- B.EDU |
- BSC-AGRI |
- BA-B.EDU |
- BLIB |
- MSC-IT |
- PGDCA |
- MSC-MB |
- MSC-physics |
- BA-ENGLISH |
- MA-Punjabi |
- MSC-chemistry |
- MSC-maths |
- BSC-Medical |
- MSC-FDT |
- MSC-FN |
- MSC-BT |
- BSC-Hons-BT |
- BSC-CS |
- BSC-Hons-Math |
- BSC-CSM |
- BSC-FT |
HPTSB
- Diploma |
MRSPTU
- B-TECH |
- M-TECH |
- Ph.D (Computer Appli |
- M.Sc (Mathematics) |
- MBA |
- M.Sc (Chemistry) |
- B.Sc (Forensic Scien |
- MBA (Aviation Manage |
- B.Sc (Chemistry) |
- BBA (Aviation Manage |
- B.Sc (Mathematics) |
- BCA |
- M.Sc (Microbiology) |
- M.Planning |
- B.Sc (IT) |
- B.Sc (Dialysis Techn |
- B.Sc (Food Science & |
- B.Sc (Hons.) Mathema |
- M.Sc (Physics) |
- M.Pharmacy |
- B.Sc (MLS-MLT) |
- BMS (ATH) |
- B.Architecture |
- B.Com |
- B.Com (E-Commerce) |
- B.Sc (Operation Thea |
- M.Pharma (Pharmaceut |
- B.Sc (Fashion Design |
- M.Sc (Computer Scien |
- BA (Computer Science |
- B.Sc (Hons.) Agricul |
- B.Sc (Hons.) Aircraf |
- B.Sc (Anesthesia Tec |
- BCA & B.Sc (IT) |
- B.Sc (Graphics & Web |
- B.Sc (Hons.) Physics |
- M.Pharma (Pharmacolo |
- B.Fine Arts |
- MBA (Hospital Admini |
- B.Sc (Hons.) Chemist |
- B.Pharmacy |
- M.Sc (IT) |
- BA (Journalism and M |
- B.Design (Interior D |
- B.Com-M.Com Dual Deg |
- BCA-MCA Dual Degree |
- B.Sc (Physics) |
- B.Sc (Physics) |
- B.Sc (Cardiac Care T |
- M.Com |
- B.Sc (Cardiac Care T |
- M.Com |
- B.Sc (Non-Medical) |
- B.Sc (Non-Medical) |
- Computer Maintenance |
- B.Sc (Optometry) |
- CMPA |
- B.Sc (Fashion Techno |
- Computer Maintenance |
- B.Sc (Optometry) |
- CMPA |
- B.Sc (Fashion Techno |
- BMS (HMCT) |
- B.Com (Aviation, Log |
- BMS (HMCT) |
- BBA |
- B.Com (Aviation, Log |
- BBA |
- M.Sc (Fashion Techno |
- B.Pharmacy (Practice |
- B.Sc (Agriculture) |
- M.Sc (Fashion Techno |
- B.Pharmacy (Practice |
- B.Sc (Agriculture) |
- PGDCA |
- MCA |
- Pharm.D |
- PGDCA |
- B.Com (Hons.) |
- MCA |
- Pharm.D |
- B.Com (Hons.) |
- B.Sc (Food Science) |
- M.Sc (Food Science & |
- B.Sc (Food Science) |
- BBA-MBA Dual Degree |
- M.Sc (Food Science & |
- M.Pharma (Pharmacogn |
- BBA-MBA Dual Degree |
- M.Pharma (Pharmacogn |
FAQ
Frequently Asked Questions
Answers about this subject, solved papers, and preparation.
01 Where can I find Mathematics-1 previous year question papers for Bachelor of Technology, 1st-2nd semester?
This page lists Mathematics-1 question papers uploaded for Punjab Technical University Bachelor of Technology, 1st-2nd semester, organized for subject-wise browsing where available.
02 Are these official Punjab Technical University question papers?
BRpaper is not the official website of Punjab Technical University. These papers are shared for reference and revision purposes only and are not official university material.
03 How can previous year Mathematics-1 papers help in exam preparation?
Reviewing past papers can help you understand how questions are typically framed, notice commonly repeated topics, and get a sense of the exam pattern before your own exam.
04 What kind of topics does Mathematics-1 usually cover?
The question papers here relate to the official Mathematics-1 syllabus set by the university for this course and semester.
05 Does this page include a Mathematics-1 question bank or solved answers?
This page focuses on providing access to the previous year question papers themselves. A separate question bank or solved answers may not be available for every paper.
06 Can I find papers for other subjects in the same Bachelor of Technology?
Yes, BRpaper organizes papers by university, course, stream, and semester, so you can browse other subjects within the same Punjab Technical University Bachelor of Technology.