RS Aggarwal Solutions For Class 10 – Latest Edition

Get Latest Edition of RS Aggarwal Class 10 Solutions. Here, we have provided step-by-step solutions of RS Aggarwal Class 10 Maths. These solutions are prepared by our expert teachers as per the latest CBSE syllabus and guidelines.

RS Aggarwal Class 10 Maths Solutions
RS Aggarwal Solutions for Class 10 is one of the most valuable study materials that helps to score excellent marks in the math exams. Study Path has prepared the solutions for each question of the RS Aggarwal textbook step-by-step. The solutions help students solve all the RS Aggarwal Class 10 Mathematics questions without any problems. We have provided exercise-wise solutions so that students can easily find the one they need.

RS Aggarwal Maths Class 10 Solutions

• Chapter 1: Number Systems
• Chapter 2: Polynomials
• Chapter 3: Linear Equations in Two Variables
• Chapter 4: Quadratic Equations
• Chapter 5: Arithmetic Progressions (AP)
• Chapter 6: Triangles
• Chapter 7:  Trigonometry
• Chapter 8: . Circles
• Chapter 9: Surface Areas and Volumes
• Chapter 10: Probability

RS Aggarwal Class 10 Mathematics – Detailed Topics Overview

RS Aggarwal Solutions Class 10 Maths Chapter 1. Number Systems

This chapter deals with the classification of numbers into natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. It explains:
  –  Rational numbers: Numbers that can be expressed as the ratio of two integers.
  –  Irrational numbers: Numbers that cannot be expressed as a fraction of two integers (e.g.,          √2, π).
  –  Real numbers: Combination of rational and irrational numbers.
The chapter also discusses Euclid’s Division Algorithm, the existence of irrational numbers, and their decimal expansions, whether terminating or non-terminating and repeating.

RS Aggarwal Solutions Class 10 Maths Chapter 2. Polynomials

Polynomials are algebraic expressions involving variables and coefficients. This chapter introduces:
  –  Types of polynomials: Linear, quadratic, cubic, and higher degree polynomials.
  –  Degree of a polynomial: The highest power of the variable in the polynomial.
  –  Zeroes of a polynomial: The values of the variable for which the polynomial equals zero.
  –  Remainder Theorem: If a polynomial is divided by (x – a), the remainder is the value of the          polynomial at x = a.
  –  Factor Theorem: If f(a) = 0, then (x – a) is a factor of the polynomial.
  –  Factorization: Breaking down a polynomial into its factors using the Remainder and Factor       Theorems.

RS Aggarwal Solutions Class 10 Maths Chapter 3. Linear Equations in Two Variables

Linear equations are equations of the first degree. This chapter covers:
  –  Graphical solution of linear equations: Plotting the linear equations on the coordinate plane.
  –  Methods of solving:
     – Substitution Method: Solving one equation for a variable and substituting it into the other.
     – Elimination Method: Adding or subtracting equations to eliminate a variable.

The chapter discusses the relationship between the coefficients and the solution of the system of equations.

RS Aggarwal Solutions Class 10 Maths Chapter 4. Quadratic Equations

Quadratic equations are second-degree polynomial equations. This chapter explains:
  –  Standard form of a quadratic equation: ax^2 + bx + c = 0, where a, b, c are constants and          a  ≠ 0.
  –  Solutions to quadratic equations: Methods such as factorization, completing the square,            and using the quadratic formula x = (-b ± √(b^2 – 4ac)) / 2a.
  –  Discriminant: The expression Δ = b^2 – 4ac, which helps determine the nature of the roots:
     – Δ > 0: Two real and distinct roots.
     – Δ = 0: Two real and equal roots.
     – Δ < 0: No real roots (complex roots).

RS Aggarwal Solutions Class 10 Maths Chapter 5. Arithmetic Progressions (AP)

An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant. This chapter explains:
  –  Nth term of an AP: The general term of an AP is given by a_n = a_1 + (n-1) d, where a_1 is          the first term and d is the common difference.
  –  Sum of first n terms of an AP: The sum is given by S_n = n/2 (2a_1 + (n-1) d) or S_n = n/2           (a_1 + a_n), where a_n is the nth term.
The chapter also includes word problems based on real-life situations, such as calculating total payments or distances in an arithmetic progression.

RS Aggarwal Solutions Class 10 Maths Chapter 6. Triangles

This chapter focuses on properties, theorems, and criteria related to triangles, such as:
  –  Similarity of triangles: Two triangles are similar if their corresponding angles are equal, and        their corresponding sides are proportional (criteria: AA, SAS, SSS).
  –  Pythagorean Theorem: In a right-angled triangle, a^2 + b^2 = c^2, where c is the                       hypotenuse, and a and b are the other sides.
  –  Area of a triangle: Using the formula Area = 1/2 × base × height, or using Heron’s formula         for any type of triangle.

RS Aggarwal Solutions Class 10 Maths Chapter 7. Trigonometry

Trigonometry deals with the relationships between the sides and angles of right-angled triangles. This chapter covers:
  –  Trigonometric ratios: Sine (sin), cosine (cos), and tangent (tan) are defined as the ratios of        the sides of a right triangle.
  –  Trigonometric identities: Fundamental trigonometric identities such as sin^2 θ + cos^2 θ =        1, and other derived identities.
  –  Applications of trigonometry: Solving real-world problems such as finding the height of a          building or the distance between two points using trigonometric ratios.

RS Aggarwal Solutions Class 10 Maths Chapter 8. Circles

This chapter deals with the properties of circles, including:
  –  Tangents to a circle: A tangent touches the circle at exactly one point. The angle between        the tangent and the radius at the point of contact is 90°.
  –  Theorems related to tangents: The two tangents drawn from an external point to a circle            are equal in length.
  –  Angle subtended by a chord: The angle subtended by a chord at the center of the circle is       twice the angle subtended at any point on the remaining part of the circle.

RS Aggarwal Solutions Class 10 Maths Chapter 9. Surface Areas and Volumes

This chapter covers how to calculate the surface areas and volumes of various 3D shapes, including:
  –  Cubes and cuboids: Formulas for the surface area and volume.
  –  Surface area of cube: 6a^2, where a is the edge length.
  –  Volume of cube: a^3.
  –  Spheres, hemispheres, cones, and cylinders: Formulae for surface areas and volumes of           spheres, hemispheres, cones, and cylinders.
  –  Volume of a sphere: (4/3) π r^3, where r is the radius.
  –  Volume of a cone: (1/3) π r^2 h, where r is the radius, and h is the height.
  –  Curved surface area of a cone: π r l, where l is the slant height.
  –  Applications of these formulae to solve problems involving the volume and surface area of        solids.

RS Aggarwal Solutions Class 10 Maths Chapter 10. Probability

Probability is the measure of the likelihood of an event occurring. This chapter introduces:
  –  Basic probability concepts: Probability of an event is calculated as P(E) = Number of                 favorable outcomes / Total number of outcomes.
  –  Types of events: Independent events, mutually exclusive events, and complementary                events.
  –  Probability of compound events: Using the addition and multiplication rules for calculating       the probability of two or more events occurring.

• Study Path has solved all the questions of RS Aggarwal books.
• All the questions are solved in a detailed and step-by-step manner.
• Answers are error-free and easily understandable.
• Boosts your confidence and helps you to get good marks in the exams.

Why You Should Practice RS Aggarwal Solutions
Scoring in Maths is a daunting task. Most students practice NCERT solutions, but it is not enough to score good marks in the exams. NCERT has only a few questions to solve, while there are tons of questions in RS Aggarwal Class 8 Maths. Practicing these solutions clears your doubts and builds a strong foundation. Ultimately, it helps you to enhance your marks in the exams.