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## NCERT Solutions for Class 9 Maths

The NCERT Solutions for Class 9th Math includes all the questions provided in the NCERT textbook that is prescribed for class 9th CBSE schools. The importance of NCERT solutions is that it provides the students with an advantage over the others as most of NCERT questions occur in the CBSE exams.

Byju’s provide NCERT solutions for class 9th Math in a well-structured format along with its solutions solved by expert teachers. Students having trouble solving tough Math problems can refer to these NCERT solutions given or can call our mentors for more guidance and doubt clearance. Solving these exercises in each chapter will assure positive results as NCERT textbooks can be very helpful for students to achieve maximum marks in their examinations. Therefore, students who want to score well in their CBSE Exam should prepare by using the NCERT books.

#### Chapter Wise Solutions For CBSE Class 9 Maths:

Chapter 1: Number System
Chapter 2: Polynomial
Chapter 3: Coordinate Geometry
Chapter 4: Linear Equations in Two Variables
Chapter 5: Introduction to Euclid’s Geometry
Chapter 6: Lines and Angles
Chapter 7: Triangles
Chapter 9: Areas of Parallelograms
Chapter 10: Circles
Chapter 11: Constructions
Chapter 12: Heron’s Formula
Chapter 13: Surface Areas and Volumes
Chapter 14: Statistics
Chapter 15: Probability

## Triangles

Chapter – 7 : Triangles   Exercise 1 Question 1: In quadrilateral PQRS, PR = PQ and PQ bisects (look at the fig.). Show that the . What can you say about QR and QS? Solution: In and , we have PR = PS (PQ bisects ) PQ = PQ (common) (By SAS congruence) Hence […]

## Statistics

Chapter-14: Statistics    Exercise 1 Q1) Give 5 scenarios of day to day life from which any type of data can be collected. Solution: Daily life activities from where data can be collected are as follows: (i) Daily household expenditure (ii) Rainfall happening in your area (iii) Electricity bill of monthly (iv) Voting results or […]

## Number Systems

Chapter-1: Number systems   1) Prove that zero as a rational number. Write zero in p/q, where p and q are integers and q ≠ 0? Answer: Yes. Zero is a rational number and it can be represented as . 2) In between 3 and 4, find six rational numbers. Answer: There are an infinite number of rational numbers between the numbers […]

Chapter – 8 : Quadrilaterals   Q1. The angles of quadrilateral are in the ratio . Find the angles of the quadrilateral. Solution: Let the common ratio between the angles be x. We know that the ‘Sum of the interior angles of the quadrilateral’ = Now, Therefore the Angles of the quadrilateral are:   Q2. […]

## Coordinate Geometry

Chapter- 3: Coordinate Geometry   Exercise 1 Q1. How will you describe the position of a mobile phone kept on the study table to another person? Solution: For describing the position of a mobile phone kept on the study table, we take two lines, a perpendicular and a horizontal line. Considering the table as a […]

## Polynomials

Chapter-2 : Polynomials   Exercise – 1 Q.1.Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: (i) Answer: It is a polynomial in one variable.   (ii) Answer: It is a polynomial in one variable.   (iii) Answer: It is not a polynomial since the […]

## Introduction to Euclid’s Geomet...

Chapter-5: Introduction to Euclid’s Geometry    Exercise 5:1 Question 1 : State true or false for the following statements mentioned below with the reason: a: Through a single point only one line can be passed. b: Through two distinct lines there are infinite number of lines that can be passed. c: A line that is […]

## Linear Equation in Two Variables

Chapter-4: Linear Equation in Two Variables   Q1. Solve the following. 1. A notebook costs twice as much as a pen. Give a linear equation in two variables to represent this statement. Solution: Let the pen cost y and the notebook cost x. A/q (according to question): Notebook price = pen price = 2y ∴ 2y […]

## Lines and Angles

Chapter-6: Lines and Angles   Q1: Lines AB and CD intersect at 0. If and , find   and reflex  . SOL: Lines  .                           (Vertically Opposite Angles) But                              ………(i)                    ……….(ii) Now, Reflex =                ………..(iii)     (using angle (i) and (ii)                                           (as it is a straight line) Thus ,   Q2: In the figure, line and intersect […]

## Constructions

Chapter-11: Constructions   Question-1 Construct an angle of at the initial point of a given ray and justify the construction. Solution: Given a ray OA. Required: To construct an angle of at 0 and justify the construction. Steps of Construction: Taking 0 as centre and some radius, draw an arc of a circle, which intersects OA, […]