**Table of content**

**NCERT Solutions for Class 11 Maths**

The NCERT solutions for Class 11 Maths cover the solutions for all the exercise problems of the textbook. NCERT Solutions for Class 11 are as per the NCERT guidelines and syllabus and are prepared by experts. NCERT solutions for Class 11 Maths covers all the concept of the subject help you in scoring higher marks. While solving the problems from NCERT solutions for Class 11 Maths if you have doubts, we have a team of teachers who solve your doubts any time.

Download NCERT Solutions for the other subjects of Class 11 here. All chapters will be updated soon.

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**NCERT Solutions for Class 11 Maths Chapterwise**

CBSE Class 11 Maths Chapter 1 – Sets

CBSE Class 11 Maths Chapter 2 – Relations and Functions

CBSE Class 11 Maths Chapter 3 – Trigonometric Functions

CBSE Class 11 Maths Chapter 4 – Principle of Mathematical Induction

CBSE Class 11 Maths Chapter 5 – Complex Numbers and Quadratic Equations

CBSE Class 11 Maths Chapter 6 – Linear Inequalities

CBSE Class 11 Maths Chapter 7 – Permutations and Combinations

CBSE Class 11 Maths Chapter 8 – Binomial Theorem

CBSE Class 11 Maths Chapter 9 – Sequences and Series

CBSE Class 11 Maths Chapter 10 – Straight Lines

CBSE Class 11 Maths Chapter 11 – Conic Sections

CBSE Class 11 Maths Chapter 12 – Introduction to Three Dimensional Geometry

CBSE Class 11 Maths Chapter 13 – Limits and Derivatives

CBSE Class 11 Maths Chapter 14 – Mathematical Reasoning

CBSE Class 11 Maths Chapter 15 – Statistics

CBSE Class 11 Maths Chapter 16 – Probability

**CBSE Class 11 Maths Chapterwise NCERT Solutions**

**NCERT Solutions for Class 11 Maths Chapter 1 – Sets **

In this chapter Sets and their representations, Types of Sets, Subsets, Venn diagrams, Union and Intersection of sets, Complement of a set and Properties.

**NCERT Solutions for Class 11 Maths Chapter 2 – Relations and Functions **

In this Ordered pairs, Cartesian product of sets, relation, pictorial diagrams, domain, co-domain and range, Function and its representation, domain, and range of functions, constant, identity, polynomial, rational, modulus, exponential, logarithmic and greatest integer functions, with their graphs.

**NCERT Solutions for Class 11 Maths Chapter 3 – Trigonometric Functions **

In this chapter, you will study the concepts of trigonometric ratios, their properties, and functions.

**NCERT Solutions for Class 11 Maths Chapter 4 – Principle of Mathematical Induction **

Here, you will study the process of the proof by induction, and its application, the principle of mathematical induction and simple applications.

**NCERT Solutions for Class 11 Maths Chapter 5 – Complex Numbers and Quadratic Equations **

In this chapter, you will study Algebraic properties, Square root, Argand plane and polar representation, solution of quadratic equations of complex numbers, Statement of Fundamental Theorem of Algebra.

**NCERT Solutions for Class 11 Maths Chapter 6 – Linear Inequalities **

In this chapter, you will study Linear inequalities, their Algebraic solutions, and representation on the number line, Graphical representation, and method of finding a solution in two variables.

**NCERT Solutions for Class 11 Maths Chapter 7 – Permutations and Combinations **

Here, you will learn the fundamental principle of counting, Permutations and combinations, derivation of formulae and their connections, applications.

**NCERT Solutions for Class 11 Maths Chapter 8 – Binomial Theorem **

In this you will know about the statement and proof of the binomial theorem, Pascal’s triangle, General and middle term in binomial expansion, applications.

**NCERT Solutions for Class 11 Maths Chapter 9 – Sequences and Series **

Here, you will get to know about Arithmetic Progression and Mean Geometric Progression and mean, the general term, the sum of first, n terms of a G.P., infinite G.P. and its sum, the relation between Arithmetic Mean and Geometric mean.

**NCERT Solutions for Class 11 Maths Chapter 10 – Straight Lines **

In this you will study about Shifting of origin , Slope of a line and angle between two lines, parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form, General equation of a line, lines passing through the point of intersection of two lines, Distance of a point from a line..

**NCERT Solutions for Class 11 Maths Chapter 11 – Conic Sections **

Here, you will study sections of a cone, circle, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines, Standard equations and simple properties of parabola, ellipse and hyperbola, circle.

**NCERT Solutions for Class 11 Maths Chapter 12 – Introduction to Three Dimensional Geometry **

This chapter explains about Coordinate axes and coordinate planes in three dimensions, Coordinates of a point, Distance between two points and section formula

**NCERT Solutions for Class 11 Maths Chapter 13 – Limits and Derivatives **

In this chapter, you will learn the Limits and Derivatives of polynomials and rational functions, trigonometric, exponential and logarithmic functions. derivative, the scope of the tangent of the curve, Derivative of sum, difference, product and quotient of functions.

**NCERT Solutions for Class 11 Maths Chapter 14 – Mathematical Reasoning**

In this explanation of Mathematically acceptable statements, connecting words/phrases such as if, implied by, etc. , Difference between contradiction, converse, and contrapositive.

**NCERT Solutions for Class 11 Maths Chapter 15 – Statistics **

This chapter explains measures of dispersion, Range, mean deviation, variance and standard deviation, Analysis of frequency distributions.

**NCERT Solutions for Class 11 Maths Chapter 16 – Probability **

In this chapter Probability of an event, outcomes, sample spaces, Axiomatic probability, exhaustive events.

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**Solved Questions For You:**

**Question 1. a _{n}=n(n+2)**

**Answer: **

Given, $a=n(n+2)$

$a=1(1+2)=3,$

**Question 2. ****$a=2n$**

**Answer: **

Given, $a=2n$

Substituting $n=1,2,3,4,5$ we obtain

$a=21=2,$

$a=22=4,$

$a=23=8,$

$a=24=16,$

$a=25=32$

**Question 3. Find the sum of odd integers from $1$ to $2001$.**

**Answer:**

The odd integers from$1$ to $2001$ are $1,3,5,...1999,2001$.

$=1001×1001$$=1002001$

**Question 4. Find the sum of all natural numbers lying between $100$ and $1000$, which are multiples of $5$.**

**Answer:**

$⇒a=105,d=5,a+(n−1)d=995$

$⇒105+(n−1)5=995$

$∴S=\(\frac{179}{2}\)[2(105)+(179−1)(5)]$

Thus the sum of all natural numbers lying between $100$ and $1000$, which are multiples of $5$, is $98450$.