University of Sargodha ADP/BS 1" Semester Examination 2025 Subject: IT/CS/SE Paper: Mathematics-I (URCM-5107)

University of Sargodha

ADP/BS 1" Semester Examination 2025

Subject: IT/CS/SE

Paper: Mathematics-I (URCM-5107)

Time Allowed: 02:30 Hours

Maximum Marks: 60

Note: Objective part is compulsory. Attempt any three questions from subjective part.

Objective Part (Compulsory)

Q.1.

L.

Write short answers of the following in 2-3 lines each on your answer sheet.

(2*12)

Solve the following system of linear equation:

3x - 4y-5 -5,

9x + y =

4.

ii.

iN.

V.

Vi.

vii.

viii.

ix.

Find the Inverse of the following matrix: A = l3

¡k 2 Define a one-to-one function and also give one example of one-to-one function.

Solve the following quadratic equation: (X31)* - 3 (* +3) - 4 =

0.

Simplify the term (-

1) as a fib

Solve the equation: V2x + 8 + Vx + 5 =

7.

Find cube roots of 8 and

27.

Find the indicated term of following sequence: 1, -3,5, - 7, .., 011-

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Find the general and 15 term of Arithmetic Progression whose first term and common difference

are 3 and -5 respectively.

X.

XI.

хії.

If a = 2, b = 5,c = 9, then find Geometric Mean and Harmonic Mean.

Find the domain and range of function: f(x) = V2x -

1.

Define the scalar matrix.

Subjective Part

(3*12)

Q.2.

Q.3.

Q.4.

Q.5.

Q.6.

Using Cramer's rule solve the following two systems.

3x + y - 2 = -4

x+ y - 2z = -4

-x + 2y -2=1

2x + 2y +2 = 3

3х - 2у - 2z = 1

5x+ y - 32 = 2

Find the solution set of following equations:

a) sec 3x = secx,

a) If-, and are in Arithmetic progression then show that, b =

b) Find next three terms of sequence: -2, 4, 10, ..

a) Find A, G, H and verify that A>G>H, (G>0), if : a = 3, b = 9,c = 6, d =

12.

b) If 5th term of A.P. is 16 and 20# term is 46, what is 12' term?

If a and B are the roots of equation ax? + bx + c = 0, form the equations whose roots are:

a) а?

2,p2

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