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## IBSIT (103) BASIC MATHEMATICAL TOOLS Punjab Technical University Question Paper

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Roll No. .................
Total No. of Questions : 13]                                                                                      [Total No. of Pages : 02
Paper ID [A2003]
(Please fill this Paper ID in OMR Sheet)
IBSIT (103) (O) (Sem. - 1st)
BASIC MATHEMATICAL TOOLS

Time : 03 Hours                                                                                                      Maximum Marks : 75

Instruction to Candidates:
1) Section - A is Compulsory.
2) Attempt any Nine questions from Section - B.

Section - A
(15 x 2 = 30)
Q1)
a) What do you mean by quadratic equation?
b) If α and β are the roots of a quadratic equation then form the equation.
c) Examine the nature of roots of the equation (x – 1)2 = 0.
d) State Binomial theorem.
e) What do you mean by Positive and Negative angle?
f) Convert 420° into radians.
g) Define Trignometric Identity.
h) What do you understand by equal functions?
i) What do you mean by limit? Briefly discuss L.H.L and R.H.L.
j) Discuss derivative of a function at any point.
y = f (x) is given.
k) Evaluate (3 – 2x)4 dx .
l) Evaluate e2 xdx
0
.
m) Define improper integral.
n) Give general term in the expansion of (1 + x)-n.
o) Evaluate d/dx(log x) and d/dx(tan x).

Section - B
(9 x 5 = 45)
Q2) Find the roots of a quadratic equation ax2 + bx + c = 0, a ≠0 and discuss the nature of roots.

Q4) Prove Binomial theorem by mathematical Induction method.