1
Application of Derivatives
6
Short Answer Questions
1.
2.
A car parking company has 600 subscribers and collects
fixed charges of ` 400 per subscriber per month. The company
proposes to increase the monthly subscription and it is
believed that for every

General Theoretical ACF and PACF of ARIMA Models
Model
ACF
PACF
MA(q): moving average of order q
Cuts off
after lag q
Dies down
AR(p): autoregressive of order p
Dies down
Cuts off
after lag p
ARMA(p,q): mixed autoregressivemoving average of order (p,q)
Di

Chapter 14
ARIMA(p, d , q)
An ARMA model is not suitable for fitting a times with a trend: Remember a time series showing a trend is
not stationary in mean and ARMA models are only suited for time series stationary in mean and variance.
Differencing is an

Quadratic Equation
MC Sir
1. Introduction, Graphs
2. Inequality
3. Theory of Equations : Relation between Roots
and Coefficients of Cubic and Higher
Polynomials
4. Identity
5. Infinite Roots, Common Roots
6. Maximum and Minimum Values of Quadratic and
Rat

KEY CONCEPTS
1.
CONIC SECTIONS:
A conic section, or conic is the locus of a point which moves in a plane so that its distance from a fixed
point is in a constant ratio to its perpendicular distance from a fixed straight line.
The fixed point is called the

Logarithm
1. Basic Maths (Revision of Class IX & X,
Set Theory, Number Theory)
2. Exponential Form, Log Form,
Fundamental Log Identity
3. Principal Properties of Logarithm,
Base Changing Theorem
MC Sir
Logarithm
4. Logarithmic Equation,
Common & Natural L

MC SIR
CLASS : XII ABCD SPECIAL DPP 0N VECTOR DPP. N 0.- 1
Q. l A (l, l, 3), B (2, l, 2) & C (5, 2, 6) are the position vectors of the vertices of atriangle ABC. The
length of the bisector of its internal angle atAis :
(A) m / 4 (B*) 3m / 4 (QM (D) none

KEY CONCEPTS
1.
DEFINITIONS:
A VECTOR may be described as a quantity having both magnitude & direction. A vector is generally
represented by a directed line segment, say AB . A is called the initial point & B is called the terminal
point. The magnitude of

EDMS 646: Quantitative Research Methods II
Jeffrey Harring
ANCOVA
1. Introduction to Analysis of Covariance (ANCOVA)
1.1 What is ANCOVA?
Analysis of covariance (ANCOVA) can be viewed as a combination of multiple regression and
analysis of variance. The si

Prophet
A Model Answer to CPS Pricing
CPG is back in the news this month with
3&6. CFO Jon Moeller speaking at a Goldman Sachs conference and predicting
growth by focusing on fewer products bu with better execution. The core messages coming from P86 are t

INDIAN INSTITUTE OF MANAGEMENT CALCUTTA
Qualifying Mathematics (OM 100) Course Problem Set
- Page 10
Q.45. A population increases from its initial level of 7.3 million at the continuous rate of 2.2% per
year. Find a formula for the population P(t) as a fu

Straight Line
MC Sir
1.Basic Geometry, H/G/O/I
2.Distance & Section formula, Area of triangle,
co linearity
3.Locus, Straight line
4.Different forms of straight line equation
5.Examples based on different form of straight
line equation
6.Position of point

FUNCTION
Function
MC Sir
1.
Cartesian Product, Functions (Introduction),
Domain, Co-Domain & Range
2.
Types of functions and their Domain, Range &
Graphs
3.
Examples on Domain, Range and Graphs
4.
Identical Functions, one one, many one, onto,
Into Injecti

Integration
Introduction
Differential of y = f(x)
Q.
Differential of x4, sin(x), tan(x), ln(x).
Q.
If
(F(x)+C) = f(x) f(x)dx = F(x) + C
Q.
Antiderivative of a periodic function need not
be periodic function.
Eg. f(x) = cos x + 1 is periodic but
= sin x +

Quadratic Equation
MC Sir
1. Introduction, Graphs
2. Inequality
3. Theory of Equations : Relation between Roots
and Coefficients of Cubic and Higher
Polynomials
4. Identity
5. Infinite Roots, Common Roots
6. Maximum and Minimum Values of Quadratic and
Rat

INDIAN INSTITUTE OF MANAGEMENT CALCUTTA
Qualifying Mathematics (OM 100) Course Problem Set
- Page 1
Q.1. Let A & B be sets. What does it mean if we say that A is NOT equal to B?
(a) For every x in A, there is some y in B, such that x is not equal to y (b)

1
All India Board 2015
GENERAL INSTRUCTIONS
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
1.
2.
All questions are compulsory.
Please check that this Question Paper contains 26 questions.
Marks for each question are indicated against it.
Question 1 to 6 in Section-A

1
Delhi Board 2015
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
1.
2.
3.
4.
GENERAL INSTRUCTIONS
All questions are compulsory.
Please check that this Question Paper contains 26 questions.
Marks for each question are indicated against it.
Question 1 to 6 in Section-

1
Probability
13
Short Answer Questions
1.
2.
3.
4.
5.
Probability of winning when batting coach A and bowling
coach B working independently are 1/2 and 1/3 respectively.
If both try for the win independently find the probability
that there is a win. Will

SBI AND SBI (RURAL BUSINESS) BANK P.O.EXAM
ENGLISH LANGUAGE
Directions (1-10): Read each sentence to find out whether there is any grammatical error in it. The error, if any, will
be in one part of the sentence. The number of that part is the answer. If t

www.ncerthelp.com
Design of Question Paper
Mathematics - Class X
Time : Three hours
Max. Marks : 80
Weightage and distribution of marks over different dimensions of the question paper shall be as follows:
A.
Weightage to content units
S.No.
Content Units

ABOUT DISHA PUBLICATION
One of the leading publishers in India, Disha Publication provides books and study materials for schools
and various competitive exams being continuously held across the country. Disha's sole purpose is to
encourage a student to ge

HINTS & SOLUTION
1.
(b) Total number of chocolates = 60
Total number of children = 5 (Nikki, Raja, Rani, Sachin,
Kiran)
10. (d) It is not a triangle because a triangle has 3 sides and 3
angles.
11. (d) Score of Rahul = 26
Score of Sourav = 98
Number of ch

www.ncerthelp.com
SAMPLE QUESTIONS
MATHEMATICS
SA II (March)
CLASS-X
Multiple Choice type (1 mark) questions
1.
f?kkr lehdj.k
(A)
dsoy 0
2x2-kx+k = 0, ds ewy leku gSaA k dk eku gS%
(B)
4
(C)
dsoy 8
(D)
0, 8
2
Values of k for which the quadratic equation 2

CBSESAMPLE PAPER 05
SUMMATIVE ASSESSMENT I
Class-IX SCIENCE
Time: 3 Hrs
MM: 90
ANSWERS
1.
2.
3.
4.
5.
6.
Water vapour.
WBC (White blood cell).
The force exerted by an electrically charged body is called electrostatic force.
This happens because of transpi

CBSE SAMPLE PAPER 04
SUMMATIVE ASSESSMENT I
Class-IX SCIENCE
Time: 3 Hrs
MM: 90
ANSWERS
Section A
1.
Evaporation is the process by which water (liquid) changes to vapour at any temperature
below its boiling point.
2.
A goblet cell is a unicellular mucus s

CBSE SAMPLE PAPER 03
SUMMATIVE ASSESSMENT I
Class-IX SCIENCE
Time: 3 Hrs
MM: 90
General Instructions
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
The question paper comprises of two Sections, A and B. You are to attempt both the
sections.
All questions are compulso

CBSE SAMPLE PAPER 05
SUMMATIVE ASSESSMENT I
Class-IX SCIENCE
Time: 3 Hrs
MM: 90
General Instructions
(i)
The question paper comprises of two Sections, A and B. You are to attempt both the
sections.
(ii)
All questions are compulsory.
(iii) Question numbers

CBSE SAMPLE PAPER 04
SUMMATIVE ASSESSMENT I
Class-IX SCIENCE
Time: 3 Hrs
MM: 90
General Instructions
(i)
The question paper comprises of two Sections, A and B. You are to attempt both the
sections.
(ii)
All questions are compulsory.
(iii) Question numbers

CBSE Sample Paper-04
SUMMATIVE ASSESSMENT I
Class IX MATHEMATICS
Time allowed: 3 hours
General Instructions:
Maximum Marks: 90
a) All questions are compulsory.
b) The question paper consists of 31 questions divided into four sections A, B, C and D.
c) Sec

CBSE Sample Paper-05
SUMMATIVE ASSESSMENT I
Class-IX MATHEMATICS
Time allowed: 3 hours
General Instructions:
Maximum Marks: 90
a) All questions are compulsory.
b) The question paper consists of 31 questions divided into four sections A, B, C and D.
c) Sec