# Sikkim-Manipal University of Health Medical and Technological Sciences (SMUHMTS) 2009 B.C.A Computer Application bc0033 basic mathematics assignment - Question Paper

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**August 2009**

**Bachelor of Computer Application (BCA) Semester 1**

**
BC0033Basic Mathematics** ** 4 Credits
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**(Book ID:**

**B0675)**

**Assignment
Set 1 (60 Marks)**

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**Each
Question Carries 10 Marks 10 X 6 = 60 Marks**

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**Book
ID: B0675**

1. (i) Show that is a contradiction.

(ii) Show that is a tautology.

2. In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak atleast one of the two languages. How many people speak only English and not Hindi? How many people speak English?

3. Prove that the set of real numbers is an Abelian Group with respect to Multiplication?

4. Prove that the intersection of any two subgroups of a group is again a subgroup.

5. If G is a (p, q) graph and x is a vertex in G, Show that the degree of x in is .

6. A box contains 7 red, 6 white and 5 blue balls, in how many ways can three balls be selected so that (i) all the three are red

(ii) none is red

(iii) one is of each colour

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**August 2009**

**
BCA-Revamped-semester-1**

**
BC0033Basic Mathematics** ** 4 Credits
**

**(Book ID:**

**B0675)**

**Assignment
Set 2 (60 Marks)**

** **

**Each
Question Carries 10 Marks 10
X 6 = 60 Marks**

** **

** **

**Book
ID: B0675**

1. Express all the trigonometric ratios in terms of cos A.

2. Evaluate (a) (b)

3. Find if (a) (b)

4. Integrate the following w.r.t.x.

(a) (b)

5. Find the four roots of 1 and represent them in the Argand Diagram

6. Solve the set of equations using Matrix method

x + y + z = 6

x + 2y + 3z = 14

x + y z = 2

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Earning: Approval pending. |