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

• Wednesday, September 26, 2012
punjabtechnicaluniversity.blogspot.in

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 Î± and Î² 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?
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.