Chapter 14
MATHEMATICAL REASONING
Type-I
Concept: statements: A sentence which is either true or false, but not
both
(1) N.C.E.R.T text book page 324
Question no.1(*) , 2(*),4(*),9(*),10(*)
Type-II
Ne
Chapter 5
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
INTRODUCTION
,
etc do not have values in the system of real numbers.
So we need to extend the real numbers system to a larger system.
Let us denote
b
Chapter 16
Probability
For important terms and definitions refer NCERT text book.
Type- I
Concept : sample space
(1)NCERT text book page 386 question no. 1 (*)
(2) NCERT text book page 386 question no
Chapter 4
PRINCIPLE OF MATHEMATICAL INDUCTION
INTRODUCTION
To prove certain results or statements in Algebra, that are formulated in terms of
n, where n is a natural number, we use a specific techniqu
Chapter 10
STRAIGHT LINES
SLOPE OF A LINE :
m = tan if is the angle of inclination.
if (
m =
,
)
and
(
,
) are two points on the line.
SLOPE of a horizontal line is 0 and vertical line is not defined.
CHAPTER 7
PERMUTATIONS (Arrangements) AND COMBINATIONS (selections)
In permutation order is important, since 27 & 72 are different
numbers(arrangements). In combination order is not important.
Fundam
Chapter 1
Sets
Concept: Representation of a set
Concepts:- Different types of sets Subsets- Power sets Universal set
Operations on sets Compliment of a set Practical Problems.
Text book questions
Ex:
Chapter 12
THREE DIMENSIONAL GEOMETRY
Any point on x axis - > ( x, 0, 0)
Any point on y axis - > ( 0, y, 0)
Any point
on z axis - > ( 0, 0, z)
Any point on XY - plane
( x, y, 0)
Any point on YZ - plan
Chapter 3: Trigonometric functions
Concept:
Radian measure- relation between degree and radian- trigonometric
functions- sign of trigonometric functions- trigonometric functions of
sum and difference
Chapter 11
CONIC SECTION
CIRCLE:
The equation of a circle with centre at (h, k) and radius r is (
(
)
)
Equation of a circle with centre at origin and radius r is
PARABOLA( Symmetric about its axis)
E
Chapter 9
SEQUENCES AND SERIES
Arithmetic progression (A.P)
Standard AP
a, a+d, a+2da+(n-1)d
An = a+ (n-1) d
Sn = (
(
) )
)
= (
Arithmetic mean A between the two numbers a and b is
A =
If A1,A2,.An a
CHAPTER 6
LINEAR INEQUALITIES
Rules for solving inequalities
The following rules can be applied to any inequality
Add or subtract the same number or expressions to both sides.
Multiply or divide bot
Chapter 13
LIMITS AND DERIVATIVES
Some standard results on limits
( )
1)
( )
iff
2)
( )
where k is a fixed real number.
( )
3)
( )
where f(x) is a real polynomial in x.
for all n N
4)
5)
x
c
Algebra o