Here is a general guide on where you can find NCERT solutions for Class 9 Maths, along with summaries for each chapter and key concepts:
NCERT Solutions for Class 9 Maths
Chapter 1: Number Systems
Real numbers and their decimal expansions
Representing real numbers on the number line
Operations on real numbers
Chapter 2: Polynomials
Polynomials in one variable
Zeroes of a polynomial
Remainder theorem and factor theorem
Algebraic identities
Chapter 3: Coordinate Geometry
Cartesian system
Plotting points in the plane
Chapter 4: Linear Equations in Two Variables
Solution of a linear equation
Graph of a linear equation
Equations of lines parallel to the x-axis and y-axis
Chapter 5: Introduction to Euclid’s Geometry
Euclid’s definitions, axioms, and postulates
Equivalent versions of Euclid’s fifth postulate
Chapter 6: Lines and Angles
Basic terms and definitions
Intersecting and non-intersecting lines
Pairs of angles
Parallel lines and a transversal
Lines parallel to the same line
Chapter 7: Triangles
Congruence of triangles
Criteria for congruence
Properties of triangles
Chapter 8: Quadrilaterals
Types of quadrilaterals
Properties of a parallelogram
Midpoint theorem
Chapter 9: Areas of Parallelograms and Triangles
Figures on the same base and between the same parallels
Parallelograms on the same base and between the same parallels
Triangles on the same base and between the same parallels
Chapter 10: Circles
Circle and its related terms
Angle subtended by a chord
Perpendicular from the center to a chord
Circle through three points
Equal chords and their distances from the center
Angle subtended by an arc
Cyclic quadrilaterals
Chapter 11: Constructions
Basic constructions
Construction of bisectors of line segments and angles
Construction of a triangle given its base, a base angle, and the sum of the other two sides
Construction of a triangle given its perimeter and its base angles
Chapter 12: Heron’s Formula
Area of a triangle using Heron’s formula
Application of Heron’s formula in finding areas of quadrilaterals
Chapter 13: Surface Areas and Volumes
Surface area of a cuboid and a cube
Surface area of a right circular cylinder
Surface area of a right circular cone
Surface area of a sphere
Volume of a cuboid, cube, cylinder, cone, and sphere
Chapter 14: Statistics
Collection of data
Presentation of data
Graphical representation of data
Measures of central tendency (mean, median, mode)
Chapter 15: Probability
Probability – an experimental approach
Online Resources for NCERT Solutions
- NCERT’s Official Website: NCERT.nic.in
- Educational Websites: Websites like BYJU’s, Vedantu, and Toppr offer detailed solutions and explanations.
- YouTube: Channels like ‘ExamFear Education’ and ‘Khan Academy’ offer video explanations.
- PDF Solutions: Websites like Teachoo, LearnCBSE, and Aglasem provide downloadable PDF solutions.
Make sure to cross-check the solutions with your textbook to ensure they match the curriculum requirements and formats expected by your educational board.