| Latest Maths NCERT Book Solutions | ||||||
|---|---|---|---|---|---|---|
| 6th | 7th | 8th | 9th | 10th | 11th | 12th |
Latest Class 10 Mathematics NCERT Solutions
Chapter 1: Real Numbers
Real Numbers introduces you to the fascinating world of numbers that go beyond the rational. Learn about Euclid’s Division Lemma, the Fundamental Theorem of Arithmetic, and how to find the HCF and LCM of two numbers using prime factorization. This chapter builds a deep understanding of how numbers interact and lays the foundation for algebraic expressions and proofs.
Chapter 2: Polynomials
Delve into the world of polynomials—expressions that form the basis of algebraic equations. Understand the relationship between the zeros and coefficients of a polynomial, the process of division of polynomials, and methods of factorization. This chapter strengthens your algebraic manipulation skills and logical reasoning abilities.
Chapter 3: Pair of Linear Equations in Two Variables
Learn to solve pairs of linear equations using methods such as substitution, elimination, cross-multiplication, and graphical representation. This chapter helps students apply algebraic equations to real-life situations such as motion problems, cost analysis, and mixture problems.
Chapter 4: Quadratic Equations
This chapter deals with equations of the form ax² + bx + c = 0. Learn how to find their roots using factorization, completing the square, and the quadratic formula. Understand the nature of roots using the discriminant, and apply these techniques to real-world scenarios.
Chapter 5: Arithmetic Progressions
Study the fascinating world of sequences and series. Learn to identify Arithmetic Progressions (APs), find the nth term and sum of n terms, and apply APs to real-life examples like calculating total earnings or distances covered. This chapter blends algebra and reasoning seamlessly.
Chapter 6: Triangles
Deepen your understanding of triangles by exploring similarity and congruence. Learn key theorems such as the Basic Proportionality Theorem, Pythagoras Theorem, and criteria for similar triangles (AA, SAS, SSS). Apply these principles to complex geometric problems with ease.
Chapter 7: Coordinate Geometry
Connect algebra and geometry through Coordinate Geometry. Learn to calculate the distance between two points, the coordinates of a midpoint, and the area of a triangle formed by points on a plane. These skills are crucial for graphical interpretation and higher-level geometry.
Chapter 8: Introduction to Trigonometry
Discover the powerful branch of mathematics called Trigonometry. Learn about trigonometric ratios such as sine, cosine, and tangent, and their relationships in a right-angled triangle. Understand trigonometric identities and their applications in problem-solving.
Chapter 9: Some Applications of Trigonometry
Apply trigonometric ratios to practical life! This chapter focuses on solving problems involving heights and distances—like finding the height of a building, the distance of a ship from the shore, or the angle of elevation and depression. It’s where math meets real-world utility.
Chapter 10: Circles
Learn about tangents to a circle and their unique properties. Understand the tangent-secant theorem and explore relationships between radii, chords, and points of contact. This topic strengthens your geometric reasoning and visual skills.
Chapter 11: Areas Related to Circles
Expand your circle knowledge to calculate the area of sectors and segments. Understand the concept of arc length and apply formulas to solve real-world problems such as finding the area of flower beds, wheel tracks, or ring-shaped objects.
Chapter 12: Surface Areas and Volumes
Explore 3D geometry through this chapter on Surface Areas and Volumes. Learn to calculate for solids like cubes, cylinders, cones, spheres, and even the frustum of a cone. These concepts are widely used in engineering, architecture, and daily life applications.
Chapter 13: Statistics
Dive into data handling and analysis. Learn how to represent data using histograms, frequency polygons, and ogives. Understand mean, median, and mode as measures of central tendency, and interpret real-life data using cumulative frequency methods.
Chapter 14: Probability
Probability introduces students to the concept of chance and uncertainty. Learn the difference between theoretical and experimental probability and how to calculate the likelihood of everyday events such as drawing a card or tossing a coin. This chapter develops logical and analytical thinking.