Unlock the key to acing Mathematics effortlessly with these meticulously crafted NCERT Class 11 notes. Dive into a concise 199-page treasure trove where every complex concept is unravelled in an incredibly easy-to-understand manner. Perfect for students aiming for that coveted 100%, these notes are...
,Content Of This Book
S No. Name Of the Chapter Pg No.
1. Sets 2
2. Relations & Functions 21
3. Trigonometric Functions 34
4. Complex Numbers and Quadratic Equations 46
5. Linear Inequalities 55
6. Permutations and Combinations 63
7. Binomial Theorem 74
8. Sequence and Series 83
9. Straight Lines 95
10. Conic Sections 114
11. Introduction to Three-dimensional Geometry 137
12. Limits and Derivatives 149
13. Statistics 169
14. Probability 184
, SETS
Introduction
A set is a well-defined collection of objects.
The following points may be noted :
(i) Objects, elements and members of a set are synonymous terms.
(ii) Sets are usually denoted by capital letters A, B, C, X, Y, Z, etc.
(iii) The elements of a set are represented by small letters a, b, c, x, y, z, etc.
If a is an element of a set A, we say that “ a belongs to A” the Greek symbol
(epsilon) is used to denote the phrase ‘belongs to’. Thus, we write a A. If ‘b’ is
not an element of a set A, we write b A and read “b does not belong to A”.
N : the set of all natural numbers
Z : the set of all integers
Q : the set of all rational numbers
R : the set of real numbers
Z+ : the set of positive integers
Q+ : the set of positive rational numbers, and
R+ : the set of positive real numbers.
, Ways to represent a set:
(i) Roster or tabular form
(ii) Set-builder form.
Roster or tabular form:
In roster form, all the elements of a set are listed, the elements are being
separated by commas and are enclosed within braces { }.
For example,
The set of all vowels in the English alphabet is {a, e, i, o, u}.
Set-builder form.
In set-builder form, all the elements of a set possess a single common
property which is not possessed by any element outside the set.
For example, in the set {a, e, i, o, u}, all the elements possess a common
property, namely, each of them is a vowel in the English alphabet, and no
other letter possess this property. Denoting this set by V, we write V = {x : x is a
vowel in English alphabet}
Example:
Write the solution set of the equation x 2 + x – 2 = 0 in roster form.
Solution:
The given equation can be written as
(x – 1) (x + 2) = 0, i. e., x = 1, – 2
Therefore, the solution set of the given equation can be written in roster form
as {1, – 2}.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller honey4. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $8.19. You're not tied to anything after your purchase.
