Download PTU BCA 2020 March 4th Sem BC 301 Mathematics II Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) BCA 2020 March (Bachelor of Computer Application) 4th Sem BC 301 Mathematics II Previous Question Paper

1 | M-10022 (S3)-2705

Roll No. Total No. of Pages : 02
Total No. of Questions : 07
BCA (Sem.?4)
MATHEMATICS-II
Subject Code : BC-301
M.Code : 10022
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 SIX questions carrying TEN marks each and students have
to attempt any FOUR questions.

SECTION-A
1. Write briefly :
(a) Define Square matrix.
(b) Find the rank of
1 2
.
4 1
? ?
? ?
? ?
? ?

(c) Find the determinant of
2 4
.
3 5
? ?
? ?
? ?

(d) State Measures of Central tendency.
(e) Define Skewness.
(f) Differentiate: sinx
2
.
(g) Differentiate : logtanx.
(h) Integrate:
3
2
x
(i) Integrate: e
x
.
(j) State Trapezoidal Rule.
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1 | M-10022 (S3)-2705

Roll No. Total No. of Pages : 02
Total No. of Questions : 07
BCA (Sem.?4)
MATHEMATICS-II
Subject Code : BC-301
M.Code : 10022
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 SIX questions carrying TEN marks each and students have
to attempt any FOUR questions.

SECTION-A
1. Write briefly :
(a) Define Square matrix.
(b) Find the rank of
1 2
.
4 1
? ?
? ?
? ?
? ?

(c) Find the determinant of
2 4
.
3 5
? ?
? ?
? ?

(d) State Measures of Central tendency.
(e) Define Skewness.
(f) Differentiate: sinx
2
.
(g) Differentiate : logtanx.
(h) Integrate:
3
2
x
(i) Integrate: e
x
.
(j) State Trapezoidal Rule.
2 | M-10022 (S3)-2705

SECTION-B
2. Solve: 5x + 3y + 7z = 4; 3x + 26y + 2z = 9; 7x + 2y + 10z = 5.
3. Find the missing frequency from the following data when the arithmetic mean is 34 marks
and then find the median.
Marks 0?10 10?20 20?30 30?40 40?50 50?60
No. of Student 5 15 20 ---- 20 10

4. If A =
2 1 0 2 3 4
3 2 1 0 1 2 , .
1 0 1 1 0 5
and B Find AB and BA
? ? ? ?
? ? ? ?
?
? ? ? ?
? ? ? ?
? ? ? ?

5. Integrate by parts : sin x x dx
?
.
6. Find the second derivative of x
2
log3x.
7. Compute by Simpson's rule an approximate value of
3
4
3
x dx
?
?
by taking seven equidistant
ordinates. Compare it with the exact value and the value obtained by using the Trapezoidal
rule.






NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.

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