Solved question paper for MATH-2 Dec-2017 (DIPLOMA 1st-2nd)
Solved Question Paper
Applied mathematics-2 Dec-2017
PSBTE • DIPLOMA • Information Technology • 1st-2nd • Dec-2017
Applied Mathematics-2 for Punjab State Board of Technical Education Diploma in Engineering helps students find subject-wise previous year question papers for the 1st-2nd semester. This page is useful for checking exam pattern questions, revising repeated topics, and understanding how the paper is usually framed from old papers. Students can use these MATH-2 papers to prepare for semester-wise revision, practice important questions, and look for diploma question paper PDF searches in one place. BRpaper is not the official website of Punjab State Board of Technical Education, and the papers here are only for study and reference.
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-
SECTION-A
Q1. Choose the correct answer.
i. Which one is a measure of dispersion?
a) Mean b) Median c) Mode d) Range
Very Short Answer 5x1=5 Marks Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Order of differential equation (y''')2 + 2y'' + 3y = x
a) 1 b) 2 c) 3 d) 4
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Dec 2018
Order of differential equation (y''')2 + 2y'' + 3y = x is
\r\na) 3 b) 4 c) 1 d) 2
\r\n
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A square matrix A is singular if |Ü£ |is
a) 0 b) 1 c) 2 d) 3
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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If x = sin3t ,then acceleration at (pi over 2) ଶ is (x stands for displacement at time t)
a) -9 b) -3 c) 3 d) 9
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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The equation of the normal to the curve y = sinx at (0, 0) is
a) x = 0 b) y = 0 c) x + y = 0 d) x - y = 0
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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State True or False.
a. limQ->0 sinQ/Q is equal to 1
Very Short Answer 5x1=5 Marks Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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(int sin 4x dx = cos 4x)
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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If D≠0, then system has unique solution
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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If the mean of 4, 3, 7, x, 10 is 6 then x = 6
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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The integral of log x w.r.t x is 1/x
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Fill in the blanks.
(int e ^{mx}) ݀ is equal to -------
Very Short Answer 5x1=5 Marks Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Area of trapezoid = 1/2 (sum of parallel side) x -------.
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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If AB is defined then (AB)t = -------------
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Integration is defined as the ------ of differentiation.
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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The differential co-efficient of a constant is ------.
Very Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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May 2017
The differential coefficient of a constant is one.
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SECTION-B
Q4. Attempt any six questions.
(i) If = a(t + 1/t), y = a(t - 1/t) where “a” is constant. Then prove that dy/dx = x/y
Short Answer 6x5=30 Marks Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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If ݇ kx + y - z = 0 and x- 2y + z = 3, and 4x - 3y + z = 5 system is inconsistent, then find the value of ݇k
Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Evaluate ∫ dx/1+cotx
Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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If y = (sin-1 x)2 prove that (1+ x2) y2 - xy1 = 2
Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Evaluate (int)cos4 x dx
Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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The probability of the horse A winning the race is 1/4 and the probability of horse B winning the race is 1/3, find the probability that one of the horse wins the race.
Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Calculate the median of the following data:-
Class interval 0-5 5-10 10-15 15-20 20-25 25-30 30-35 Frequency 12 15 25 40 42 14 8 Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Find the point on the curve y = 10 + 2x - x2 the curve has slope unity.
Short Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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SECTION-C
Q5. Attempt any three questions.
(i) Solve the following equations by matrix method
x - y + z = 4 , x - 2y - 2z = 9 , 2x + y + 3z = 1
Long Answer 3x10=30 Marks Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Dec 2018
SECTION-C
Q3. Attempt any three questions.
i. Solve the following equations by matrix method
3x + y + 2z = 32x - 3y - z = -3
x + 2y + z = 4
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May 2017
SECTION – C
Q3. Attempt any three questions.
(i) Solve the following equations by matrix method
x + y - z = -2
2x - y - z = -7
4x + y + 2z = 4
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Using Simpson’s Rule, calculate the approximate value of (int_0^1 {1 over 1 +x^2}) by dividing the interval 0 to 1 into four equal parts. Hence obtain the value of π correct to four places of decimals.
Long Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Solve the differential equation
(y^2 (x^2 - 1){dy over dx} - x^2 (y^2 - 1) = 0)
Long Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Dec 2018
Solve the differential equation
\r\ny2(x2 - 1)- x2 (y2 - 1) = 0
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a) Differentiate etan x w.r.t sin x
b) Determine the point of maxima of f(x) = sin x + cos x in 0<= x pi/2
Long Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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Find S.D and coefficient of variation of following data
Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 No of student 5 10 20 40 30 20 10 4 Long Answer Dec-2017 • PSBTE DIPLOMAExisting answers are stored as HTML; you can edit directly without converting to Markdown.
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FAQ
Frequently Asked Questions
Answers about this subject, solved papers, and preparation.
01 Where can I find MATH-2 previous year question papers for PSBTE Diploma?
You can use this subject page to find Applied Mathematics-2 previous year question papers for the PSBTE Diploma in Engineering 1st-2nd semester.
02 Is this page useful for downloading MATH-2 question paper PDFs?
Yes, students often use this page to look for MATH-2 question paper PDF access and old paper references for revision.
03 Can I use these papers to understand the exam pattern?
Yes, old papers help you see common question types, repeated topics, and the usual exam pattern for Applied Mathematics-2.
04 Are solved question papers available here?
This page is mainly for previous year question papers and study reference. It does not claim to provide official solved papers.
05 What is the best way to prepare with MATH-2 old papers?
Use the papers for subject-wise practice, revise repeated questions, and focus on the units that appear often in past exams.