1. No category

B
Student Regd. No
DMTH201:: BASIC MATHEMATICS-I
Date of Exam:- 10 Sept
Session:- 9:30-12:30
Time Allowed : 3 hours
Max. Marks: 80
1. This paper contains 10 questions divided in two parts on 2 pages.
2. Part A is compulsory.
3. In Part B (Questions 2 to 10), attempt any 6 questions out of 9. Attempt
all parts of the questions chosen.
4. The marks assigned to each question are shown at the end of each question in
square brackets.
5. Answer all questions in serial order.
PART-A
1(a) Find the slope of line passing through (3,-2) and (-1,4)
(b) Find the equation of circle with centre (0,0) and radius R
(c) Find lt
x
1
x2 1
x 100
(d) Prove that f: R to R given by f(x) = 2x is 1-1 and onto
(e) Find principal value of
(f) Find value of a, b, c, d from
=
(g) Evaluate
(h) Check continuity of a function f given by f(x)=2x+3 at x=1
(i) Find derivative of y=
(j) Find slope of tangent to curve y=x3-x at x=2
[10x2=20]
Part-B
Q2: Find angle between the lines y-
x-5=0 and
y-x+6=0
Q3: Find centre and radius of the circle x2+y2+8x+10y-8=0
Q4: Show that tan-11/2 +tan-12/11=tan-13/4
Q5: If A=
, B=
, find 2A-B
Q6: Evaluate A=
Q7: Differentiate
Q8: Differentiate
w.r.t x, where a is constant
.
Q9: Find local maxima and local minima value of function f(x) =3x4+4x3-12x2+12
Q10: Prove that
= cotx
[6x10=60]