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Maths 10X: Crack Class 10 in 30 Days!

sonikaanandacademy

18 modules

Bilingual

Lifetime access

<p>"Unlock the Power of Numbers: Master Math Skills with Confidence in Class 10!"</p>

Overview

Real Numbers:Euclid's Division Lemma, the Fundamental Theorem of Arithmetic, revisiting irrational numbers, and decimal expansions of rational numbers.Polynomials: polynomials, their degrees, types, and geometrical meaning of the zeroes of a polynomial. Students will learn about the relationship between zeroes and coefficients of quadratic polynomials and apply the Division Algorithm for polynomials.Pair of Linear Equations in Two Variables linear equations in two variables, their graphical representation, and different algebraic methods for solving them (substitution, elimination, and cross-multiplicationQuadratic Equationsequations in one variable, their standard form, and methods for finding their roots (factorization, completing the square, and using the quadratic formula). Arithmetic Progressions:concept of arithmetic progressions (AP), the derivation of the nth term and the sum of the first n terms of an AP. riangles: Pythagoras Theorem and its converse, along with their applications.Coordinate Geometry: the Cartesian coordinate system the distance between two points, the section formula (for internal division), and the area of a triangle. Introduction to Trigonometry: trigonometric identities, and trigonometric ratios.Some Applications of Trigonometry: trigonometric ratios to solve problems involving heights and distances.Circles: important theorems related to tangents and chords of a circle.Constructions: dividing a line segment in a given ratio, constructing tangents to a circle from a point on it Areas Related to Circles: (circumference) and area of a circle, as well as the areas of sectors and segments of a circle.Surface Areas and Volumes: cubes, cuboids, cones, cylinders, spheres, and hemispheres. Statistics: the mean, median, and mode of grouped data and understand the concept of cumulative frequency distribution and its graphical representation (ogive)Probability: elementary events, sample space, and calculating the probability of an event.

Key Highlights

Ncert Text Book

Video Tutorials of Each Question

Practice exercises for each topic to ensure mastery

Time-saving tips and tricks for solving problems

Interactive quizzes and assessments for self-evaluation

Study Material

Revision sessions to boost retention

Strategies to manage exam stress and improve performance

What you will learn

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Real Number

L. Real Numbers Euclid’s Division Lemma Fundamental Theorem of Arithmetic Revisiting Irrational Numbers Revisiting Rational Numbers and Their Decimal Expansions

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Polynomial

Geometrical Meaning of the Zeroes of a Polynomial Relationship Between Zeroes and Coefficients of a Polynomial Division Algorithm for Polynomials

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Pair of Linear Equationsintwo Variables

AGraphical Method of Solution Algebraic Methods of Solution Substitution Method Elimination Method Cross-Multiplication Method Equations Reducible to a Pair of Linear Equations

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Quadratic Equations

Standard Form of a Quadratic Equation Solution by Factorization Solution by Completing the Square Solution by Quadratic Formula Nature of Roots

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Arithmetic Progression

Introduction nth Term of an AP Sum of First n Terms of an AP

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Triangle

Similar Figures Similarity of Triangles Criteria for Similarity Areas of Similar Triangles Pythagoras Theorem and Converse

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Coordinate Geometry

Distance Formula Section Formula Area of a Triangle

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Introduction to Trigonometry

Trigonometric Ratios Trigonometric Ratios of Specific Angles (0°, 30°, 45°, 60°, 90°) Trigonometric Identities

Modules

Real Numbers

11 attachments • 37 mins

Real Numbers Ncert Text Book

19 pages