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

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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This post was last modified on 31 March 2020