Maths Formulas For Class 11

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List of Maths Formulas for 11th Class

Here is a list of Maths formulas for CBSE class 11.

Coordinate Geometry & Line Formula

Algebra Formula

Algebra Formulas For Class 11
Distributive Propertya×(b+c)=a×b+a×c
Commutative Property of Additiona+b=b+a
Commutative Property of Multiplicationa×b=b×a
Associative Property of Additiona+(b+c)=(a+b)+c
Associative Property of Multiplicationa×(b×c)=(a×b)×c
Additive Identity Propertya+0=a
Multiplicative Identity Propertya×1=a
Additive Inverse Propertya+(−a)=0
Multiplicative Inverse Propertya⋅(1/a)=1
Zero Property of Multiplicationa×(0)=0

Trigonometric Formula

Trigonometry Class 11 Formulas
sin(−θ)=−sinθ
cos(−θ)=cosθ
tan(−θ)=−tanθ
cosec(−θ)=−cosecθ
sec(−θ)=secθ
cot(−θ)=−cotθ

Sets

A set is a well-collaborated collection of objects. A set consisting of definite elements is a finite set. Otherwise, it is an infinite set. You can find the essential symbols and properties for Sets below:

SymbolSet
NThe set of all the natural numbers
ZThe set of all the integers
QThe set of all the rational numbers
RThe set of all the real numbers
Z+The set of all the positive numbers
Q+The set of all the positive rational numbers
R+The set of all the positive real numbers
  1. The union of two sets A and B are said to be contained elements that are either in set A and set B. The union of A and B is denoted as: A∪B.
  2. The intersection of two sets A and B are said to be contained elements that are common in both the sets. The intersection of A and B is denoted as: A∩B.
  3. The complement of a set A is the set of all elements given in the universal set U that are not contained in A. The complement of A is denoted as A′.
  4. For any two sets A and B, the following holds true:
    • (i) (A∪B)′=A′∩B′
    • (ii) (A∩B)′=A′∪B′
  5. If the finite sets A and B are given such that (A∩B)=ϕ, then: n(A∪B)=n(A)+n(B)
  6. If (A∪B)=ϕ, then: n(A∪B)=n(A)+n(B)−n(A∩B)

Relations and Functions

An ordered pair is a pair of elements grouped together in a certain order. A relation R towards a set A to a set B can be described as a subset of the cartesian product A × B which is obtained by describing a relationship between the first of its element x and the second of its element y given in the ordered pairs of A × B.

The below-mentioned properties will surely assist you in solving your Maths problems.

  1. A cartesian product A × B of two sets A and B is given by:
    A × B = { (a,b):aϵA,bϵB(a,b):aϵA,bϵB }
  2. If (a , b) = (x , y); then a = x and b = y
  3. If n(A) = x and n(B) = y, then n(A × B) = xy
  4. A × ϕ = ϕ
  5. The cartesian product: A × B ≠ B × A
  6. A function f from the set A to the set B considers a specific relation type where every element x in the set A has one and only one image in the set B.
    A function can be denoted as f: A → B, where f(x) = y
  7. Algebra of functions: If the function f: X → R and g: X → R; we have:
    • (i) (f+g)(x)=f(x)+g(x),xϵX
    • (ii) (f–g)(x)=f(x)–g(x),xϵX
    • (iii) (f.g)(x)=f(x).g(x),xϵX
    • (iv) (kf)(x)=k(f(x)),xϵX, where k is a real number
    • (v)f/g(x)=f(x)/g(x),xϵX,g(x)≠0

Trigonometric Functions

In Mathematics, trigonometric functions are the real functions that relate to an angle of a right-angled triangle forming some finite ratios of two side lengths. Find the important Maths formulas for Class 11 related to trigonometric functions below.

  1. If in a circle of radius r, an arc of length l subtends an angle of θ radians, then l=r×θ.

Complex Numbers and Quadratic Equations

A number that can be expressed in the form a + ib is known as the complex number; where a and b are the real numbers and i is the imaginary part of the complex number.

  1. Let z1 = a + ib and z2 = c + id; then:
    • (i) z1 + z2 = (a + c) + i (b + d)
    • (ii) z1 . z2 = (ac – bd) – i (ad + bc)

Permutations and Combinations

If a certain event occurs in ‘m’ different ways followed by an event that occurs in ‘n’ different ways, then the total number of occurrences of the events can be given in m × n order. Find the important Maths formulas for class 11 as under:

Binomial Theorem

Sequence And Series

An arithmetic progression (A.P.) is a sequence where the terms either increase or decrease regularly by the same constant. This constant is called the common difference (d). The first term is denoted by a and the last term of an AP is denoted by l.

Straight Lines

Conic Sections

A circle is a geometrical figure where all the points in a plane are located equidistant from the fixed point on a given plane.

Introduction To Three Dimensional Geometry

The three planes determined by the pair of axes are known as coordinate planes with XY, YZ and ZX planes. Find the important Maths formulas for Class 11 below:

Limits and Derivatives

A limit of a function at a certain point holds a common value of the left as well as the right-hand limits if they coincide with each other.

Statistics

You will find the essential maths formulas for Class 11 of Statistics given below:

FAQs (Frequently Asked Questions)

1. Is memorising the Class 11th Maths formulas mandatory to score well in the final examinations?

A. Though many believe that the Maths section of the final exam is easy to score, it is not that easy. Do not ever underestimate the Maths concepts. To score well, you need to understand and memorise all the Maths formulas. 

Besides knowing the Class 11 and 12 Maths formulas, you should understand all the properties and concepts very well. You should also solve plenty of Maths problems ranging from simple to complex if you want to score the highest possible marks in the final exam.

2. What are the most important topics’ formulas one should remember from CBSE Class 11th Maths formulae?

A. Below is the list of all the important topics from the Class 11th Maths curriculum that every student should memorise all the formulas of. Take a look at the list given below.

  • Chapter 1: Sets
  • Chapter 2: Relations and Functions
  • Chapter 3: Trigonometric Functions
  • Chapter 4: Principle of Mathematical Induction
  • Chapter 5: Complex Numbers and Quadratic Equations
  • Chapter 7: Permutations and Combinations
  • Chapter 8: Binomial Theorem
  • Chapter 10: Straight Lines
  • Chapter 12: Introduction to Three Dimensional Geometry
  • Chapter 13: Limits and Derivatives
  • Chapter 14: Mathematical Reasoning
  • Chapter 15: Statistics
  • Chapter 16: Probability

3. How will these maths formulas help me?

A. When you try to solve a Math problem, there is a chance that you might get stuck in some questions. These Maths formulas will come handy at that time. You can solve all these problems efficiently and very quickly. That’s how you can prepare well for the examination and score the best possible marks in Mathematics.

4. Where can I find all the Class 11th basic Maths formulas at one place?

A. If you are looking for the complete list of basic Maths Formulas for Class 11 under one roof, then you have surely come to the right place. We at Vedantu offer you all the most important Maths formulas for Class 11 to help you in your exam preparation. These formulas play a very crucial role in scoring the highest possible marks in Class 11 Mathematics. All these basic formulas provided in one place help you in your revision and quick memorization as well. You can also refer to them while solving Class 11 Maths NCERT textbook exercises questions or the previous years’ question papers.

Q: Are class 11 & 12 math formulas and definitions enough to score good marks in the NATA?

A: Though many students might tell you Maths section of NATA is easy to score, but underestimating it will be completely wrong. Apart from knowing Class 11 and 12 maths formulas, you should know all the properties and concepts. You should solve plenty of maths mock questions if you want to score good marks in NATA.Q: Where can I get Class 11 math formulas sheet PDF for free?

A: You can get the complete list of Class 11 Maths formulas at Embibe for free.Q: How will these maths formulas help me?

A: When you practice your maths questions, there is a chance that you might get stuck in some questions. At this time, these Maths formulas and properties will help you go through a quick revision. Therefore, you can prepare well and score better.

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