Class 10 CBSE Mathematics (Hindi)

Class 10 CBSE Mathematics Animated Video Course (Hindi)

Welcome to the Class 10 CBSE Mathematics Animated Video Course, designed to simplify complex mathematical concepts, enhance understanding, and help students perform exceptionally well in their exams. This course offers an engaging, visual, and easy-to-understand approach to learning key mathematics topics included in the Class 10 CBSE syllabus. Through high-quality animations, step-by-step explanations, and practice problems, this course helps students develop problem-solving skills and a deep understanding of the subject.

Here’s a detailed point-wise breakdown of the major topics covered in this animated video course:

1. Area Related to Circles

• Overview: Learn how to calculate the area of sectors and segments of a circle, along with practical applications.
• Key Concepts:
  • Formulae for the area of a circle, sector, and segment.
  • Derivation of area formulas and their real-life applications (e.g., land area).
  • Problems related to the area of a circle and related shapes.

2. Arithmetic Progressions (AP)

• Overview: Explore the concept of sequences where each term is generated by adding a fixed number to the previous term.
• Key Concepts:
  • General form of an arithmetic progression.
  • Deriving the nth term and sum of n terms in an AP.
  • Solving problems related to real-world applications of AP, such as in patterns, financial calculations, etc.

3. Circle

• Overview: This topic delves into the properties and theorems related to circles, along with their application in geometry.
• Key Concepts:
  • Tangents to a circle, properties of tangents, and theorems related to tangents.
  • Chords, secants, and their relationships in a circle.
  • Angle properties and congruence in circle geometry.

4. Coordinate Geometry

• Overview: Learn the basics of coordinate geometry, which involves plotting points on the coordinate plane and finding distances and midpoints.
• Key Concepts:
  • Cartesian plane and coordinates of points.
  • Distance formula, section formula, and midpoint formula.
  • Equations of a straight line and its slope.
  • Graphing linear equations on the coordinate plane.

5. Constructions

• Overview: Geometrical constructions help students develop spatial understanding and learn how to draw figures using a compass and straightedge.
• Key Concepts:
  • Constructions of triangles, bisectors, perpendiculars, and angles.
  • Using basic geometric tools to perform precise constructions.
  • Practical applications of construction techniques in real-life problems.

6. Pair of Linear Equations in Two Variables

• Overview: This topic covers methods to solve linear equations involving two variables, including graphical and algebraic methods.
• Key Concepts:
  • Solving linear equations using substitution, elimination, and cross-multiplication methods.
  • Graphical representation of the system of equations and interpretation of the solution.
  • Word problems involving linear equations.

7. Polynomials

• Overview: Polynomials are algebraic expressions with multiple terms. This topic explores polynomial operations and properties.
• Key Concepts:
  • Definition of polynomials and their degree.
  • Operations on polynomials: addition, subtraction, multiplication, and division.
  • Factorization of polynomials and solving polynomial equations.

8. Probability

• Overview: Probability is the measure of the likelihood of an event occurring. Learn how to calculate and interpret probabilities.
• Key Concepts:
  • Definition of probability and its fundamental principles.
  • Calculation of probability using the formula P(E)=favorable outcomestotal outcomesP(E) = \frac{\text{favorable outcomes}}{\text{total outcomes}}P(E)=total outcomesfavorable outcomes​.
  • Real-world examples of probability, such as in games of chance or weather predictions.

9. Quadratic Equations

• Overview: Quadratic equations are fundamental in algebra. This topic covers their properties and methods of solving.
• Key Concepts:
  • Standard form of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0.
  • Methods of solving: Factorization, completing the square, and using the quadratic formula.
  • Applications of quadratic equations in geometry, physics, and real-life situations.

10. Real Numbers

• Overview: This topic covers the different types of real numbers and their properties.
• Key Concepts:
  • Classification of real numbers: Rational and irrational numbers.
  • Properties of real numbers, including closure, associative, distributive, and commutative properties.
  • Euclidean algorithm and finding the HCF and LCM of numbers.

11. Some Applications of Trigonometry

• Overview: Trigonometry helps solve problems related to angles and distances. Learn practical applications of trigonometry in various fields.
• Key Concepts:
  • Use of trigonometric ratios in right-angled triangles.
  • Applications in real-life scenarios such as heights and distances, navigation, architecture, and astronomy.

12. Statistics

• Overview: Statistics involves the collection, analysis, interpretation, and presentation of data. This topic helps in organizing and interpreting data.
• Key Concepts:
  • Measures of central tendency: Mean, median, and mode.
  • Measures of dispersion: Range, variance, and standard deviation.
  • Graphical representation of data: Histograms, bar graphs, and pie charts.

13. Surface Areas and Volumes

• Overview: Learn to calculate the surface area and volume of 3D shapes like cubes, cylinders, cones, and spheres.
• Key Concepts:
  • Formulas for surface area and volume of solid shapes.
  • Problems involving the conversion of units and application of formulas in real-life contexts.
  • Derivation of volume and surface area formulas and their practical applications in construction and design.

14. Triangles

• Overview: This topic focuses on the properties of triangles, including theorems related to their sides, angles, and area.
• Key Concepts:
  • Types of triangles: Scalene, isosceles, equilateral, and right-angled.
  • Properties of triangles: Pythagoras theorem, congruence, similarity.
  • Area and perimeter of triangles, including Heron’s formula.

15. Trigonometric Identities

• Overview: Trigonometric identities are fundamental equations that hold true for all angles. This topic introduces basic identities.
• Key Concepts:
  • Fundamental identities: Pythagorean identities, reciprocal identities, quotient identities.
  • Derivation and applications of identities.
  • Use of identities in simplifying trigonometric expressions and solving problems.

16. Trigonometric Ratios

• Overview: Trigonometric ratios help relate the angles of a triangle to the lengths of its sides. This topic covers the basic trigonometric ratios.
• Key Concepts:
  • Definition of trigonometric ratios: Sine, cosine, tangent, cosecant, secant, and cotangent.
  • Application of trigonometric ratios in solving right-angled triangle problems.
  • Deriving values of trigonometric ratios from real-life problems.

Why Choose This Course?

• Engaging and Interactive: The animated videos make learning fun and engaging, helping students visualize complex concepts.
• Clear Explanations: Every topic is explained in a simple and easy-to-understand manner with step-by-step solutions.
• Practical Examples: Real-life applications are included to make abstract concepts relatable and easy to grasp.
• Comprehensive Coverage: All essential topics of Class 10 Mathematics are covered in-depth, ensuring complete preparation for exams.
• Self-Paced Learning: Study at your own pace, revisit lessons, and practice as much as you want to master the subject.
• Perfect for Exam Preparation: Includes various solved examples, practice questions, and exam-oriented tips to help students perform well in their CBSE exams.

Conclusion:

The Class 10 CBSE Mathematics Animated Video Course (Hindi) is the perfect resource for students looking to excel in their mathematics exams. With engaging visuals, expert explanations, and a thorough understanding of all topics, this course ensures that students gain confidence in mathematics. Whether you’re aiming for high marks or just looking to build a solid foundation in mathematics, this course is designed to guide you toward success.