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BACHELOR IN COMPUTER
APPLICATIONS
(BCA)
BCA/ASSIGN/2/JULY/01
ASSIGNMENTS
JULY 2001
(2nd SEMESTER)
CS-612
CS-60
CS-62
SCHOOL OF COMPUTER AND INFORMATION SCIENCES
INDIRA GANDHI NATIONAL OPEN UNIVERSITY
MAIDAN GARHI, NEW DELHI – 110 068
CONTENTS
Course
Code
Assignment No.
CS-612
BCA(2)-612/TMA/01
CS-612
BCA(2)-612/Project/01
CS-60
BCA(2)-60/TMA/01
CS-60
BCA(2)-60/Project/01
CS-62
BCA(2)-62/TMA/01
CS-62
BCA(2)-62/Project/01
Assignment
Type
Last date of Submission
Page No.
TMA
30th September, 2001
4
Project
31st October, 2001
5
TMA
30th September, 2001
6
Project
31st October, 2001
7
TMA
30th September, 2001
9
Project
31st October, 2001
10
(3)
Course Code
Course Title
Assignment No.
Maximum Marks
Last Date of Submission
:
:
:
:
:
CS-612
PC Software and Application Skills
BCA(2)-612/TMA/01
10
30th September, 2001
This is a Tutor Marked Assignment. There are three questions in this Assignment. Answer all
the questions. Each question carries equal weightage.
Question 1:
Compare and contrast Internet Explorer with MSN Explorer (newer version) .
Question 2:
Compare and contrast MS-Excel with LOTUS-123 in detail.
Question 3:
Prove that the sum of the squares of the first n integers is
1/24 (2n) (2n+1) (2n+2).
(4)
Course Code
Course Title
Assignment No.
Maximum Marks
Last Date of Submission
:
:
:
:
:
This is a Project Assignment.
weightage.
CS-612
PC Software and Application Skills
BCA(2)-612/Project/01
15
31st October, 2001
Answer all the questions.
Each question carries equal
Question 1:
Give detailed information on the topic “ Supply Chain Management” by browsing
the Internet. List the browsed URLs and the information associated with them.
Question 2:
Create a Student’s worksheet (for 25 students) for a computer institute with the
student’s details such as Student name, Roll No., Date and Year of enrollment,
Courses enrolled for, Fees paid, Balance in fees (if any) etc. Provide a suitable title
and date on the top of the worksheet. Arrange the information in two pages. Write
all the steps followed.
Question 3:
a) What is the remainder left after dividing
1! + 2! + 3! + …………..+ 100! By 6?
b) Prove that there is an infinite number of primes of the type 6k+5.
(5)
Course Code
Course Title
Assignment Number
Maximum Marks
Last date of Submission
:
:
:
:
:
CS-60
Foundation course in Mathematics in Computing
BCA(2)-60/TMA/01
10
30th September, 2001
This is a Tutor Marked Assignment. There are four questions in the assignment. Answer all
questions. Each question carries equal weightage. You may use illustrations and diagrams to
enhance explanations.
Question 1(a). For any two sets A and B, show that
A  B = (A\B)  (A  B)  (B\A)
(b) Apply De Moivre’s formula to prove that
Cos2 = Cos2 – Sin2
(c) Obtain all the fifth roots of i in C, the space of complex numbers.
Question 2(a). If , ,  are the roots of the equation
x 3  7 x 2  x  5  0,
find the equation whose roots are  + ,  +  and  + 
(b) Solve the following equations, using any of the standard methods described in the
book:
x 4  4 x 3  7 x 2  22 x  24  0
(i)
2 x 3  3x 2  4 x  1  0
(ii)
Question 3(a). Check the consistency of the following set of linear equations. If consistent, find out
the solution:
x– y+ z=0
–3x – y – 4z = 0
7x – 3y – 9z = 0
4x – 2y – 5z = 0
(b) Show that
1  2  ...  n 
n  1
2
Question 4(a). Find the equations of tangents and normals at the vertices and ends of the minor axis
of the ellipse.
x2 y2

1
a2 b2
(b) Find the angle between the planes
x + 2y + 2z = 5
2x + 2y + 3z = 0
(c)
Find the equations of the spheres that pass through
2x + y + 3z = 3 and touch the plane 3x + 4y = 15.
(6)
x2 + y2 + z2 = 5,
Course Code
Course Title
Assignment No.
Last Date of Submission
Maximum Marks
:
:
:
:
:
CS-60
Foundation Course in Mathematics in Computing
BCA(2)-60(Project)/01
31st October, 2001
15
This is a Project Assignment. You may use illustrations and diagrams to enhance
explanations. Answer all the following questions. Each question carries equal weightage.
Question 1(a). Show that the functions f: X  X such that f ( x) 
2x  3
2x  3
3
is 1 – 1 and on to where X  R    and R is the set of real numbers.
2
Find the inverse of the function f.
(b)
Find the limit, if it exists
2 x 3  54
(i)
lim
x 3
x3
3
x  125
(ii)
lim
x 5 4( x  5) 2
(iii) For the function
f(x)
2 x  7,

3x  8,
for x  0
for x < 0,
lim f ( x )
x 0
(c)
(d)
(e)
Find the derivative from the first principle of f(x) given by
f ( x)  x 2 Sin x
1  x2
Differentiate log(3x + 7) w.r.t. Cos 1 
2
1  x



If y = eax.x2,
using Leibinitz Theorem or otherwise, prove that
y n   e ax a n x 2  2na n 1 x  n(n  1)a n 2 ,
Where y(n) denotes the nth derivative of y w.r.t. x.


Question 2(a). Write down Maclaurin’s series for the following function:
1
f ( x) 
1  x 3
(7)
(b)
State the various Mean Value theorems included in your CS-60 course material.
Further verify Lagrange’s mean value theorem for the function:
f (x)  Sin  x
on the interval [0, 2].
(c) Trace the following curves, incorporating all the steps including finding out of the
tangents, asymptotes, singular points, points of inflection, etc., if required:
(i)
y(1 + x2) = x
(ii)
r = a Sin 2, a > 0
Question 3(a). Evaluate the following:
x 3  4x
(i)
 x 2  1 2 dx
dx
(ii) 
5  7Cosx

(iii)


x
1
2
1 x
1
dx
4
(b) Prove the following inequalities:
tan 1 x  x
(i)
e x  e x  2x
(ii)
(8)
for all positive x.
for all x > 0.
Course Code
Course Title
Assignment Number
Maximum Marks
Last date of Submission
:
:
:
:
:
CS-62
Data Structure through C & Pascal
BCA (2) -62/ TMA/ 01
10
30th September, 2001
This is Tutor Marked Assignment. There are two questions in this assignment. Answer both
questions. Each question carries equal weightage. You may use illustrations and diagrams to
enhance explanations.
Question 1: Write a program in ‘C’ language for the concatenation of two strings.
Question 2: Write a program in ‘C’ language for printing first 10 prime numbers. Use Recursion.
(9)
Course Code
Course Title
Assignment Number
Maximum Marks
Last date of Submission
:
:
:
:
:
CS-62
Data Structure through ‘C’ & ‘Pascal’
BCA(2) -62/Project/01
15
31st October, 2001
This is a Project Assignment. Answer the following question. You may use illustrations and
diagrams to enhance explanation.
Question 1: Write a program for the creation of a doubly linked list using pointers in ‘C’
language. Also, there should be provision for insertion and deletion of elements from
the list.
( 10 )