NCERT Solutions for Class 10 Maths Questions with Solutions Today we provided free solution for mathematics student for class 10th .If you want to download PDF, you can download file by clicking on the given download and save it on your mobile or laptop or PC. All NCERT math solution for class 10th is available in these PDF files . It is very important for all of student . We have explained quite a simple way we have covered all the chapters according to guide for NCERT book the solutions is applicable for all the board.
NCERT Solutions for Class 10 (Maths) All 1 to 15 Chapters
Chapter 1 Real Number
A real number is a number that can be found on the number line. These are the numbers that we normally use and apply in realworld applications.
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The topics and subtopics in Chapter 1 Real Number are Given Below
 Ex 1.1 – Introduction,
 Ex 1.2 – Euclid’s Division Lemma,
 Ex 1.3 – The Fundamental Theorem of Arithmetic,
 Ex 1.4 – Revisiting Irrational Numbers,
 Ex 1.5 – Revisiting Rational Numbers and Their Decimal Expansions and
 Ex 1.6 – Summary.
 EXERCISE 1.1 – 5 Questions with Solutions in PDF Download
 EXERCISE 1.2 – 7 Questions with Solutions in PDF Download
 EXERCISE 1.3 – 3 Questions with Solutions in PDF Download
 EXERCISE 1.4 – 3 Questions with Solutions in PDF Download
Chapter – 2 . Polynomial
Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
 Ex 2.1 – Introduction,
 Ex 2.2 – Geometrical Meaning of the Zeroes of a Polynomial,
 Ex 2.3 – Relationship between Zeroes and Coefficients of a Polynomial,
 Ex 2.4 – Division Algorithm for Polynomials and
 Ex 2.5 – Summary.
We cover all the exercises in the chapter given below:
 EXERCISE 2.1 – 1 Question with Solutions in PDF Download
 EXERCISE 2.2 – 2 Questions with Solutions in PDF Download
 EXERCISE 2.3 – 5 Questions with Solutions in PDF Download
 EXERCISE 2.4 – 5 Questions with Solutions in PDF Download
Chapter – 3. Linear equations in two variables
Linear equations in two variables are equations which can be expressed as ax + by + c = 0, where a, b and c are real numbers and both a, and b are not zero. The solution of such equations is a pair of values for x and y which makes both sides of the equation equal.
 Ex 3.1 Introduction,
 Ex 3.2 – Pair of Linear Equations in Two Variables,
 Ex 3.3 – Graphical Method of Solution of a pair of Linear Equations,
 Ex 3.4 – Algebraic Methods of Solving a Pair of Linear Equations,
 Ex 3.4.1 – Substitution Method
 Ex 3.4.2 – Elimination Method
 Ex 3.4.3 – CrossMultiplication Method
 Ex 3.5 – Equations Reducible to a Pair of Linear Equations in Two Variables and
 Ex 3.6 – Summary.
We cover all exercises in the chapter given below:
 EXERCISE 3.1 – 3 Questions with Solutions in PDF Download
 EXERCISE 3.2 – 7 Questions with Solutions in PDF Download
 EXERCISE 3.3 – 3 Questions with Solutions in PDF Download
 EXERCISE 3.4 – 2 Questions with Solutions in PDF Download
 EXERCISE 3.5 – 4 Questions with Solutions in PDF Download
 EXERCISE 3.6 – 2 Questions with Solutions in PDF Download
 EXERCISE 3.7 – 8 Questions with Solutions in PDF Download
Chapter – 4. quadratic equation
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
 Ex 4.1 – Introduction,
 Ex 4.2 – Quadratic Equations,
 Ex 4.3 – Solution of a Quadratic Equation by Factorization,
 Ex 4.4 – Solution of a Quadratic Equation by Completing the Square,
 Ex 4.5 – Nature of Roots and
 Ex 4.6 – Summary.
We cover all the exercises in the chapter given below:
 EXERCISE 4.1 – 2 Questions with Solutions in PDF Download
 EXERCISE 4.2 – 6 Questions with Solutions in PDF Download
 EXERCISE 4.3 – 11 Questions with Solutions in PDF Download
 EXERCISE 4.4 – 5 Questions with Solutions in PDF Download
Chapter – 5. Arithmetic progression
Arithmetic progression a sequence of numbers in which each differs from the preceding one by a constant quantity (e.g. 1, 2, 3, 4, etc.; 9, 7, 5, 3, etc.).
 Ex 5.1 – Introduction,
 Ex 5.2 – Arithmetic Progressions,
 Ex 5.3 – nth Term of an AP,
 Ex 5.4 – Sum of First n Terms of an AP and
 Ex 5.5 – Summary.
We cover all the exercises in the chapter given below:
 EXERCISE 5.1 – 4 Questions with Solutions in PDF Download
 EXERCISE 5.2 – 20 Questions with Solutions in PDF Download
 EXERCISE 5.3 – 20 Questions with Solutions in PDF Download
 EXERCISE 5.4 – 5 Questions with Solutions in PDF Download
Chapter – 6. Triangle
Triangle a plane figure with three straight sides and three angles.
 Ex 6.1 – Introduction
 Ex 6.2 – Similar Figures,
 Ex 6.3 – Similarity of Triangles,
 Ex 6.4 – Criteria for Similarity of Triangles,
 Ex 6.5 – Areas of Similar Triangles,
 Ex 6.6 – Pythagoras Theorem and
 Ex 6.7 – Summary.
We cover all the exercises in the chapter given below:
 EXERCISE 6.1 – 3 Questions with Solutions in PDF Download
 EXERCISE 6.2 – 10 Questions with Solutions in PDF Download
 EXERCISE 6.3 – 16 Questions with Solutions in PDF Download
 EXERCISE 6.4 – 9 Questions with Solutions in PDF Download
 EXERCISE 6.5 – 17 Questions with Solutions in PDF Download
 EXERCISE 6.6 – 10 Questions with Solutions in PDF Download
 Also Read: NCERT Geography Book PDF in Hindi
Chapter – 7. Coordinate geometry
Coordinate geometry is the study of algebraic equations on graphs. An example of coordinate geometry is plotting points, lines and curves on an x and y axis.
 Ex 7.1 – Introduction,
 Ex 7.2 – Distance Formula,
 Ex 7.3 – Section Formula,
 Ex 7.4 – Area of a Triangle and
 Ex 7.5 – Summary.
We cover all exercises in the chapter given below:
 EXERCISE 7.1 – 10 Questions with Solutions in PDF Download
 EXERCISE 7.2 – 10 Questions with Solutions in PDF Download
 EXERCISE 7.3 – 5 Questions with Solutions in PDF Download
 EXERCISE 7.4 – 8 Questions with Solutions in PDF Download
Chapter – 8. Trigonometry
Trigonometry – the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
 Ex 8.1 – Introduction,
 Ex 8.2 – Trigonometric Ratios,
 Ex 8.3 – Trigonometric Ratios of Some Specific Angles,
 Ex 8.4 – Trigonometric Ratios of Complementary Angles,
 Ex 8.5 – Trigonometric Identities and
 Ex 8.6 – Summary.
We cover all the exercises in the chapter given below:
 EXERCISE 8.1 – 11 Questions with Solutions in PDF Download
 EXERCISE 8.2 – 4 Questions with Solutions in PDF Download
 EXERCISE 8.3 – 7 Questions with Solutions in PDF Download
 EXERCISE 8.4 – 5 Questions with Solutions in PDF Download
Chapter – 9. Applications of Trigonometry:
It may not have direct applications in solving practical issues but used in the various field. For example, trigonometry is used in developing computer music: as you are familiar that sound travels in the form of waves and this wave pattern through a sine or cosine function for developing computer music. Here are few applications where trigonometry and its functions are applicable
 EX 9.1 – Introduction,
 Ex 9.2 – Heights and Distances and
 Ex 9.3 – Summary.
We cover all the exercises in the chapter given below:
 EXERCISE 9.1 – 16 Questions with Solutions in PDF Download
Chapter – 10. Circle
Circle round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point.
 Ex 10.1 – Introduction,
 Ex 10.2 – Tangent to a Circle,
 Ex 10.3 – Number of Tangents from a Point on a Circle and
 Ex 10.4 – Summary.
We cover all the exercises in the chapter given below:
 EXERCISE 10.1 – 4 Questions With Solutions in PDF
 EXERCISE 10.2 – 13 Questions With Solutions in PDF
Chapter – 11. Construction in geometry
Construction in geometry it has a special meaning. Here, construction is the act of drawing geometric shapes using only a compass and straightedge. No measuring of lengths or angles is allowed.
 Ex 11.1 – Introduction
 Ex 11.2 – Division of a Line Segment
 Ex 11.3 – Construction of Tangents to a Circle and
 Ex 11.4 – Summary.
We cover all the exercises in the chapter given below:
 EXERCISE 11.1 – 7 Questions With Solutions in PDF Download
 EXERCISE 11.2 – 7 Questions With Solutions in PDF Download
Chapter – 12 Areas Related to Circles
. Let’s go over these area formulas one more time.
Area of a Rectangle = Base × Height.
Area of a Square = Base × Height.
Area of a Square = s^{2}
Area of Triangle = ½(Base × Height)
Area of Parallelogram = Base × Height.
Area of Trapezoid = ½(Base_{1}+ Base_{2}) × Height.
Area of Circle = π(radius)^{2}= πr^{2}
 Ex 12.1 – Introduction
 Ex 12.2 – Perimeter and Area of a Circle – A Review
 Ex 12.3 – Areas of Sector and Segment of a Circle
 Ex 12.4 – Areas of Combinations of Plane Figures
 Ex 12.5 – Summary.
We cover all the exercises in the chapter given below:
 EXERCISE 12.1 – 5 Questions with Solutions in PDF Download
 EXERCISE 12.2 – 14 Questions with Solutions in PDF Download
 EXERCISE 12.3 – 16 Questions. with Solutions in PDF Download
Chapter 13. Surface Areas and Volumes
 Ex 13.1 – Introduction have been given below.
 Ex 13.2 – Surface Area of a Combination of Solids
 Ex 13.3 – Volume of a Combination of Solids
 Ex 13.4 – Conversion of Solid from One Shape to Another
 Ex 13.5 – Frustum of a Cone
 Ex 13.6 – Summary.
We cover all exercises in the chapter given below:
 EXERCISE 13.1 – 9 Questions with Solutions in PDF Download
 EXERCISE 13.2 – 8 Questions with Solutions in PDF Download
 EXERCISE 13.3 – 9 Questions with Solutions in PDF Download
 EXERCISE 13.4 – 5 Questions with Solutions in PDF Download
 EXERCISE 13.5 – 7 Questions with Solutions in PDF Download
Chapter – 14. Statistic
Statistic a fact or piece of data obtained from a study of a large quantity of numerical data.
 Ex 14.1 – Introduction
 Ex 14.2 Mean of Grouped Data
 Ex 14.3 – Mode of Grouped Data
 Ex 14.4 – Median of Grouped Data
 Ex 14.5 – Graphical Representation of Cumulative Frequency Distribution
 Ex 14.6 – Summary.
We cover all exercises in the chapter given below:
 EXERCISE 14.1 – 9 Questions with Solutions in PDF Download
 EXERCISE 14.2 – 6 Questions with Solutions in PDF Download
 EXERCISE 14.3 – 7 Questions with Solutions in PDF Download
 EXERCISE 14.4 – 3 Questions with Solutions in PDF Download
Chapter – 15. Probability
Probability the quality or state of being probable; the extent to which something is likely to happen or be the case.
 EX 15.1 – Introduction
 EX 15.2 – Probability: A Theoretical Approach
 EX 15.3 – Summary.
We cover all exercises in the chapter given below:
 EXERCISE 15.1 – 25 Questions with Solutions in PDF Download
 EXERCISE 15.2 – 5 Questions with Solutions in PDF Download
Get 100 percent accurate NCERT Solutions for Class 10 Maths Chapter solved by expert Maths teachers. We provide step by step solutions for the questions given in class 10 maths textbook as per CBSE Board guidelines from the latest NCERT book for class 10 maths.
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