Solved question paper for MATH-2 Dec-2018 (DIPLOMA 1st-2nd)

Solved Question Paper

Applied mathematics-2 Dec-2018

PSBTE • DIPLOMA • Cvil Engineering • 1st-2nd • Dec-2018

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.

Question papers (year-wise) Solutions

Solved Questions

Solved

SECTION-A
Q1. a) Choose the correct answer.
i. If A is a non singular matrix, then A^-1 is
a) |A| adj A b)
c) (adj A)^T d)

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

(b)
a) π b)
c) d)

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

(c)
lim_x->0

a) 1 b) π
c) d) -π

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

(a)
Order of differential equation (y''')² + 2y'' + 3y = x is
a) 3 b) 4 c) 1 d) 2

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

(a)
Dec 2017
Order of differential equation (y''')² + 2y'' + 3y = x
\r\n\r\n
a) 1 b) 2 c) 3 d) 4

The differential coefficient of sinx² w.r.t cosx² is
a) -tan x² b) -cot x² c) 2x d) -2x

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

(b)
State True or False.
vi. The differential coefficient of a constant is one.

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

False
if is even.

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

False
Mean Deviation = Standard Deviation

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

True

Volume of a sphere of radius 'a' is π

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

True
cos 2A = cos²A - sin²A

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

True
Fill in the blanks
xi. The angles in trigonometric functions are supposed to be measured in ______.

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

Degree or radian
A square matrix is said to be a diagonal matrix if all its non-diagonal elements are______.

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

Zero

is equal to______.

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

Log(g(x)) + constant
Central value of the set of observation is called_______.

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

Central Tendency
The derivative of ݁e^x is equal to________.

Very Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

e^x
SECTION-B
Q2. Attempt any six questions.
a. In a class of 30 students with roll no. 1 to 30, a student is picked up at random to answer a question. Find the probability that the roll number of selected students is either a multiple of 4 or 7.

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

= 4,8, 12,16,20,24, 28

&

If ݁y = e^x+y prove that =

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.
Calculate by Simpson’s rule an approximate value of by taking seven equidistant ordinates.

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

7 equidistant co-ordinate

Equation..
Find the equation of the tangent to the curve y = x² whose slope is  .

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

Y =                  ------------- 1

The slope of tangent to 1 at point ( is

Y =

Slope =

Also lies on curve 1

∴Requrid equation of tangent is

Y =

16y= 8x-1

8x -16y =1
Evaluate  .

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

I =

Put

Dx =

= =

=

= 2

= 2 tan
Dec 2018
Evaluate

Find the area bounded by the curve y = log x between the x-axis and the ordinates x = 2 and x = 3.

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

Y =logx

=

=

= log -1
If y = tan^-1x , prove that (1 +x²) y₂ + 2xy₁ = 0

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

Y =

=

= (1+ = -2x.
May 2017
if y = (tan^-1x)² Prove that (1 + x²)²y₂ + 2x (1+ x²) y₁ = 2
Solve the equations by Crammer’s rule.

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

A=

=

X =                     y =

X= -1                                                     y = 4
5x + 2y = 3

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.
Dec 2018
3x + 2y = 5

3x + 2y = 5

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.
Dec 2018
5x + 2y = 3
\r\n\r\n

\r\n
Evaluate

Short Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

I =

Put logx = t

=

=

=

=
Dec 2018
Evaluate .
SECTION-C

Q3. Attempt any three questions.
i. Solve the following equations by matrix method
3x + y + 2z = 3

2x - 3y - z = -3

x + 2y + z = 4

Long Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

3x+ y+2z=3

2x-3y-z=-3

X+2y+z=4

Ax=B

X =

Where

A=

A =

      = -3-3+14= 8 ≠  0

(adj.A)= =

Ax = B

X=

X =

=   =

X = 1       ,    y= -2 ,   x=1
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

Dec 2017
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
Find the maximum and minimum values of the function x³ - 6x² + 9x + 15

Long Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.



= 6(3) -12>0

∴x=3 is Point of minima

Maximum value is

    = 1-6 + 9 + 15 = 19

Min. value is =

                         = 27-54+27+15

                         = 15
May 2017
Find the maximum and minimum values of the function
\r\n\r\n
2x³ -15x² + 36x +10

Find the standard deviation from the following data

Wages	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	12	18	35	42	50	45	20	8

Long Answer Dec-2018 • PSBTE DIPLOMA

Wages

0-10

10-20

20-30

30-40

40-50

50-60

60-70

70-80

N= 230

35=a

D=x-35

-30

-20

-10

-360

-350

500

900

600

320

10800

7200

3500

5000

18000

12800

Standard deviation =

= =

= = 17.25

Solve the differential equation
y²(x² - 1) - x² (y² - 1) = 0

Long Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

=

=
Dec 2017
Solve the differential equation
\r\n\r\n
\\(y^2 (x^2 - 1){dy \\over dx} - x^2 (y^2 - 1) = 0\\)
Integrate x² sin²x dx

Long Answer Dec-2018 • PSBTE DIPLOMA

Existing answers are stored as HTML; you can edit directly without converting to Markdown.

I =

=

=

=

=

=

=

Explore all data

FAQ

Frequently Asked Questions

Answers about this subject, solved papers, and preparation.

Updated regularly

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.

Solved question paper for MATH-2 Dec-2018 (DIPLOMA 1st-2nd)

Applied mathematics-2 Dec-2018

Solved Questions

Explore all data

PTU

PU Chandigarh

PSBTE

PSEB(School)

BFUHS

PU-PATIALA

GNDU

HPTSB

GTU

MDU

MRSPTU

CBSE(School)

BSEH

UBSE

PTU DISTANCE EDUCATION

Frequently Asked Questions