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### NCERT Solutions for Class 11 Maths

Byju’s provides NCERT solutions for class 11 Maths, being an essential resource for those want to score exhibit best performance in their class 11 maths exam. The series of solution includes solutions to every question, test papers and help student to prepare best and score good marks. Now get access easily to class 11 maths NCERT solutions trigonometry, chapter 1 and class 11 maths NCERT solutions sequence and series chapter wise.

The solutions are prepared by experts and include solutions to all the exercise questions to exercise after every unit and chapter. You can also find all the important topics along with marks weightage wherein you get to know which are the topics where you need concentrate and spend more time.

 Unit-I: Sets and Functions Unit-II:Algebra Unit-III:Coordinate Geometry Unit-IV:Calculus Unit-V:Mathematical Reasoning Unit-VI:Statistics and Probability

## Straight Lines

Chapter-10: Straight Lines   Exercise – 10.1  Q-1. Construct a quadrilateral in the Cartesian plane with vertices (-2, 5), (0, 6), (4, -4) and (-3, -1). Also, find the area of the quadrilateral. Solution. Let, MNOP be the given quadrilateral having vertices M (-2, 5), N (0, 6), O (4, -4) and P (-3, -1). Now, […]

## Linear Inequalities

Chapter-6: Linear Inequalities Exercise 6.1 Question 1 Solve when: (i) The variable(x) is a natural number (ii) The variable(x) is an integer. Sol: Given, Dividing both sides of the equation by the same non – negative number, we get: = = (i). Numbers 1,2,3,4,5,6,7 are the natural numbers smaller than the given fraction . The […]

## Mathematical Reasoning

Chapter-14: Mathematical Reasoning   Exercise 14.1  Q.1: State whether the following sentences are statements or not, and justify your answers. (a) A month has 35 days. (b) Mathematics is very tough (c) Addition of two numbers such as 5 & 7 is larger than 10. (d) The resultant of a square of a number is […]

## Sequences and Series

Sequences and Series   Exercise 9.1 Q1: as = s (s + 3) is the sth term of a sequence. Find the starting five terms of the sequence. Answer: as = s (s + 3) Putting s = 1, 2, 3, 4 and 5 respectively, in as = s (s + 3) a1 = 1 […]

## Intoduction to 3-D Geometry

Chapter-12: Intoduction to 3-D Geometry   Exercise 12.1  For any given point, the sign of its coordinates determines the octant in which it will lie. Now, from the following table it can be easily determined in which coordinates the point lies.     Q.1: A point is lying on y – axis. What are its ‘x‘ […]

## Probability

Chapter-16: Probability   Exercise 16.1 Question 1 Write the sample space when a coin is tossed thrice. Sol: We all know that a unbiased coin a head (H) & a tail (T) According to the question, when a coin tossed thrice, then possible outcomes = Sample space = { TTT, HHH, HHT, THH, THT, HTH, […]

## Statistics

Chapter – 15 : Statistics     Exercise 15.1   Q1. Calculate the mean deviation about the mean for the given data 5, 8, 9, 10, 11, 13, 14, 18   Sol: The given data is, 5, 8, 9, 10, 11, 13, 14, 18   Mean,   The deviations of the respective observations from the mean […]

## Binomial Theorem

Chapter-8: Binomial Theorem Binomial Theorem:   [a + b]n    =    [ nC0 × an ]  +  [ nC1 × (an – 1) × b ]  +  [ nC2 × (a n – 2) × b2 ]  +  [ nC3 × (an – 3 )× b3 ] + . . . . . . . . . […]

## Complex Numbers and Quadratic Equatio...

Chapter-5: Complex Numbers and Quadratic Equations   Exercise: 5.1 Q.1: Express the following complex number in x + iy form;   Sol:   = -4 × × i × i = -7 i2 = -7(-1)   [ Since, i2 = -1 ] = 7     Q.2: Express the following complex number in x + iy form; […]

## Principles of Mathematical Induction

Chapter-4: Principles of Mathematical Induction    Exercise 4.1 Prove the following through principle of mathematical induction for all values of n, where n is a natural number. 1:   Sol: The given statement is: P(n) : Now, for n = 1 P(1) = = = = 1 Thus, the P(n) is true for n=1 Let, P(k) […]