# Download PTU BMCI 2020 March 2nd Sem 72462 Mathematics Ii Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) BMCI 2020 March (Bachelor in Mobile Computing & Internet) 2nd Sem 72462 Mathematics Ii Previous Question Paper

1 | M-72462 (S2)-1668
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
BMCI (2014 & Onwards) (Sem.?2)
MATHEMATICS ? II
Subject Code : BMCI-201
M.Code : 72462
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION?A
1. Write briefly :
a) 2x + 3y =
2 3
4 0
? ?
? ?
? ?
and 3x + 2y =
2 2
,
1 5
? ? ?
? ?
?
? ?
find x and y.
b) If A =
5 1
6 7
? ? ?
? ?
? ?
B =
2 1
3 4
? ?
? ?
? ?
, show AB ? BA.
c) Find M.D from median 3, 9, 5, 3, 12, 10, 8, 4, 7, 19, 21.
d) The Mean of numbers a, b, 8, 5, 10 is 6 and variance 6.8. Find value of a and b.
e) Differentiate
1
1
x
y
x
?
?
?
.
f) Differentiate y = x
2
cos x.
g) Integrate . xtanx dx
?

h) Write the difference between simple interest and compound interest.
i) Define annuity.
j) Write co-factor of matrix
2 1 3
4 1 0 .
7 2 1
? ?
? ?
?
? ?
? ? ?
? ?

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1 | M-72462 (S2)-1668
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
BMCI (2014 & Onwards) (Sem.?2)
MATHEMATICS ? II
Subject Code : BMCI-201
M.Code : 72462
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION?A
1. Write briefly :
a) 2x + 3y =
2 3
4 0
? ?
? ?
? ?
and 3x + 2y =
2 2
,
1 5
? ? ?
? ?
?
? ?
find x and y.
b) If A =
5 1
6 7
? ? ?
? ?
? ?
B =
2 1
3 4
? ?
? ?
? ?
, show AB ? BA.
c) Find M.D from median 3, 9, 5, 3, 12, 10, 8, 4, 7, 19, 21.
d) The Mean of numbers a, b, 8, 5, 10 is 6 and variance 6.8. Find value of a and b.
e) Differentiate
1
1
x
y
x
?
?
?
.
f) Differentiate y = x
2
cos x.
g) Integrate . xtanx dx
?

h) Write the difference between simple interest and compound interest.
i) Define annuity.
j) Write co-factor of matrix
2 1 3
4 1 0 .
7 2 1
? ?
? ?
?
? ?
? ? ?
? ?

2 | M-72462 (S2)-1668
SECTION-B
2. Find inverse of matrix A =
2 1 3
4 1 0
7 2 1
? ?
? ?
?
? ?
? ? ?
? ?

3. Find standard deviation
x 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45
f 20 24 32 28 20 16 34 10 16
4. Differentiate (x + 1)
3
(x + 2)
2
(2x ? 7)
4

5. Integrate
2
9 6 5
dx
x x ? ?
?
.
6. Find two positive number x and y such that x + y = 60 and xy
3
is maximum.

SECTION-C
7. a) Solve following system of linear equations using omen rule
2x + 3y + 3z = 5
x ? 2y + z = ? 4
3x ? y ? 2z = 3
b) Evaluate
6
2
0
1
dx
x ?
?
using simpson
1
3
rule
8. Using concept of co-efficient of variation state which group is more variable A or B.
X 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Group A 9 17 32 33 40 10 9
Group B 10 20 30 25 43 15 7
9. a) Differentiate
sin
1 log
x
e x
y
x
?
?
?

b) Calculate amount and compound interest on Rs. 3500 at 10% per annum in 2 years.

NOTE : Disclosure of identity by writing mobile number or making passing request on any
page of Answer sheet will lead to UMC case against the Student.

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