RD Sharma Class 10 Solutions Maths CBSE

List of Chapters and Number of Exercises Solved in RD Sharma Class 10 PDF

Chapter 1 - Real Numbers: 6 Exercises

• Euclid’s division lemma tells us that if we have two positive numbers, a and b, we can divide a by b to get a quotient (q) and a remainder (r), where 0 ≤ r < b. This helps in expressing a as a multiple of b plus a leftover amount.

• Euclid’s division algorithm is a method used to find the Highest Common Factor (HCF) of two positive numbers.

• The Fundamental Theorem of Arithmetic states that every composite number can be broken down into a unique product of prime numbers. The order in which the prime factors are written may vary, but the factorization itself is always unique.

Chapter 2 - Polynomials: 3 Exercises

• Linear Polynomial: It's a type of polynomial where the highest power of the variable is one.

• Quadratic Polynomial: It's a type of polynomial where the highest power of the variable is two.

• Geometrical Representation: This means showing linear and quadratic polynomials in a geometric way.

Chapter 3 - Pair of Linear Equations in Two Variables: 11 Exercises

• Linear Equations in Two Variables: If you have real numbers a, b, and r (where a and b are not zero), then an equation like ax + by = r is called a linear equation in two variables.

• Solving Systems of Linear Equations: You can solve a system of linear equations in two variables by using graphical and algebraic methods.

• Applications of Linear Equations: This chapter explores how linear equations in two variables are applied in our everyday lives, covering various practical situations.

Chapter 4 - Triangles: 7 Exercises

• Geometric Figures Similarity: When two shapes have the same sides, angles, or mirrors, we call them similar.

• Similar Triangles: If the angles in two triangles match up, then those triangles are considered similar.

• Proportionality: When the ratio of two pairs of numbers is equal, like a/b = c/d, it means they are in proportion.

Chapter 5 - Trigonometric Ratios: 3 Exercises

• Trigonometry is a type of math that looks at how the sides and angles of triangles relate to each other.

• There are six trigonometric ratios: cosine, sine, cotangent, tangent, secant, and cosecant.

• Complementary angles are two angles that add up to 90 degrees.

Chapter 6 - Trigonometric Identities: 2 Exercises

• Trigonometric identities are like special math rules involving trigonometry.

• They work for any values you plug into them.

• So, no matter what numbers you use, these rules always hold true.

Chapter 7 - Statistics: 6 Exercises

• Statistics: This is the math stuff that helps us collect, organize, analyze, understand, and show information in numbers.

• Mean: Find the average by adding up all the numbers and then dividing by how many numbers there are.

• Median: In a list of numbers, the middle one when you arrange them from smallest to largest.

• Mode: The number that shows up the most in a group of numbers.

• Frequency Distribution: A summary that tells us all the different values in some data and how many times each value appears.

Chapter 8 - Quadratic Equations: 13 Exercises

• Quadratic equations are formed when quadratic polynomials are set equal to zero.

• A standard form of a quadratic equation is written as ax^2 + bx + c = 0.

Chapter 9 - Arithmetic Progressions: 6 Exercises

• Arithmetic Progression (AP) is a set of numbers where each number is a constant difference away from the one before it.

• General Term of AP: To find any term in an AP, you can use the formula an = a + (n-1)d, where 'a' is the first term, 'd' is the common difference, and 'n' is the term number.

• Sum of Terms of AP: This is the total of the first n terms in the sequence.

Chapter 10 - Circles: 2 exercises

• Circle: Think of it as a bunch of points that are all the same distance from the center.

• Secant of a Circle: A line that cuts through the circle, touching it at two points.

• Tangent to a Circle: Imagine a straight line that just barely touches the circle at one point.

Chapter 11 - Constructions: 3 exercises

• Constructions: Using tools to draw lines and shapes.

• Angle: How much two lines turn from a shared point.

• Length: The measurement of a line segment is its length.

Chapter 12 - Some Applications of Trigonometry: 1 Exercise

• Trigonometry is a type of math that looks at how angles and the lengths of sides in triangles are connected.

• The height of a triangle is the length of a straight line that starts at one side and goes straight up to meet the angle on the opposite side.

Chapter 13 - Probability: 2 Exercises

• Probability is a way of saying how likely something is to happen.

• An event is what we call the result or outcomes of a random experiment.

Chapter 14 - Coordinate Geometry: 5 Exercises

• Coordinate Geometry is all about studying geometry using coordinate systems.

• To find the distance between two points in a shape, you can use the distance formula. This formula is based on the Pythagorean theorem.

• The section formula helps figure out how a line segment is divided by a point, either externally or internally.

Chapter 15 - Areas Related to Circles: 4 Exercises

• Circle Area: To find the area of a circle, multiply pi by the square of its radius.

• Sector: Think of a sector as a slice of the circle formed by an arc and two radii.

• Segment: A segment is the space enclosed by a circle's arc and the corresponding chord.

Chapter 16 - Surface Areas and Volumes: 2 Exercises

• Surface area refers to the space taken up by the outside of an object.

• Volume is the measure of how much space is inside the object.

Advantages of Referring to RD Sharma Maths Class 10 PDF:-

• Students get a precise and detailed description of each topic in a chapter that helps them comprehend and apply concepts of relevant topics that will not only help them in their exams but also throughout their lives.

• Ample amounts of solved examples on relevant topics are provided with step by step explanations for the students to understand and solve problem sums based on the topic further as part of the exercises.

•  Problem sums with two levels of difficulty put together in exercises for students to get enhanced understanding of the topics and practice accordingly.

• A set of MCQs based on the chapter is given at the end of the last exercise for additional practice which are important for the Term-1 board exam.

• A summary of the chapter with all the important formulas is provided at the end of the chapter.