1: Real Numbers (वास्तविक संख्याएँ)
This lesson covers the fundamental concepts of Real Numbers, including Euclid's Division Lemma, Fundamental Theorem of Arithmetic, and irrational numbers.
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Introduction to Real Numbers and Euclid's Division Lemma: English -
Fundamental Theorem of Arithmetic: English
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Revisiting Irrational Numbers and Proofs: Hindi
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Revisiting Rational Numbers and their Decimal Expansions: Hindi
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Applying Euclid's Division Algorithm
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Not startedProving Irrationality of Numbers
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Not started2: Polynomials
This lesson explores polynomials, including their zeroes, graphical representation, and the relationship between zeroes and coefficients.
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Geometrical Meaning of the Zeroes of a Polynomial: English
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Relationship between Zeroes and Coefficients of a Polynomial: English
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Geometrical Meaning of the Zeroes of a Polynomial: Hindi
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Division Algorithm for Polynomials: Hindi
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Finding Zeroes of Quadratic Polynomials
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Not startedDividing Polynomials
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Not started3: Pair of Linear Equations in Two Variables (दो चरों वाले रैखिक समीकरण युग्म)
This lesson covers graphical and algebraic methods for solving pairs of linear equations, along with consistency and word problems.
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Graphical Method of Solution of a Pair of Linear Equations: English
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Algebraic Methods: Substitution Method: English
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Algebraic Methods: Elimination Method: Hindi
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Algebraic Methods: Cross-Multiplication Method: Hindi
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Solving by Substitution
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Not startedWord Problems on Linear Equations
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Not started4: Quadratic Equations (द्विघात समीकरण)
This lesson introduces quadratic equations, methods to solve them, and the nature of their roots.
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Introduction to Quadratic Equations: English
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Solution of a Quadratic Equation by Factorisation: English
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Solution of a Quadratic Equation by Completing the Square: Hindi
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Quadratic Formula and Nature of Roots: Hindi
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Finding Roots by Factorisation
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Not startedDiscriminant and Nature of Roots
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Not started5: Arithmetic Progressions (समांतर श्रेढ़ियाँ)
This lesson covers the concept of Arithmetic Progressions (AP), finding the nth term, and the sum of the first n terms of an AP.
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Introduction to Arithmetic Progressions: English
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Nth Term of an AP: English
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Introduction to Arithmetic Progressions: Hindi
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Sum of First n Terms of an AP: Hindi
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Finding Specific Terms in an AP
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Not startedApplications of AP in Real Life
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Not started6: Triangles (त्रिभुज)
This lesson covers similarity of triangles, Basic Proportionality Theorem, and criteria for similarity of triangles.
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Similar Figures and Triangles: English
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Basic Proportionality Theorem (Thales Theorem): English
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Criteria for Similarity of Triangles: AAA, SSS, SAS: English
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Similar Figures and Triangles: Hindi
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Areas of Similar Triangles: Hindi
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Pythagoras Theorem and its Converse: Hindi
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Identifying Similar Triangles
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Not startedApplying Pythagoras Theorem
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Not started7: Coordinate Geometry (निर्देशांक ज्यामिति)
This lesson introduces coordinate geometry, covering distance formula, section formula, and area of a triangle in a coordinate plane.
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Introduction to Coordinate Geometry: English
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Distance Formula: English
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Section Formula (Internal Division): Hindi
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Area of a Triangle in Coordinate Plane: Hindi
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Finding Distance between Two Points
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Not startedApplying Section Formula
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Not started8: Introduction to Trigonometry (त्रिकोणमिति का परिचय)
This lesson introduces trigonometric ratios, specific angles, and trigonometric identities.
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Trigonometric Ratios: English
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Trigonometric Ratios of Some Specific Angles: English
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Trigonometric Ratios of Complementary Angles: Hindi
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Trigonometric Identities: Hindi
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Calculating Trigonometric Ratios
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Not startedProving Trigonometric Identities
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Not started9: Some Applications of Trigonometry (त्रिकोणमिति के कुछ अनुप्रयोग)
This lesson applies trigonometric concepts to solve real-world problems involving heights and distances.
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Heights and Distances: Angles of Elevation and Depression: English
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Solving Problems involving Heights and Distances: English
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Heights and Distances: Angles of Elevation and Depression: Hindi
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Solving Problems involving Heights and Distances: Hindi
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Problems on Angle of Elevation
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Not startedComplex Height & Distance Problems
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Not started10: Circles (वृत्त)
This lesson covers properties of tangents to a circle and theorems related to them.
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Introduction to Circles and Tangents: English
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Theorem: Tangent at any point of a circle is perpendicular to the radius through the point of contact: English
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Introduction to Circles and Tangents: Hindi
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Theorem: The lengths of tangents drawn from an external point to a circle are equal: Hindi
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Properties of Tangents
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Not startedSolving Problems with Tangents
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Not started11: Constructions (रचनाएँ)
This lesson teaches how to divide a line segment, construct tangents to a circle, and construct similar triangles.
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Division of a Line Segment in a Given Ratio: English
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Construction of Tangents to a Circle: English
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Division of a Line Segment in a Given Ratio: Hindi
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Construction of a Triangle Similar to a Given Triangle: Hindi
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Practice Line Segment Division
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Not startedConstructing Tangents to Circle from External Point
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Not started12: Areas Related to Circles (वृत्तों से संबंधित क्षेत्रफल)
This lesson deals with finding areas of sectors and segments of a circle, and combining these with other plane figures.
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Area of a Sector and Segment of a Circle: English
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Areas of Combinations of Plane Figures: English
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Area of a Sector and Segment of a Circle: Hindi
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Areas of Combinations of Plane Figures: Hindi
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Calculating Area of Sectors
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Not startedCombined Area Problems
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Not started13: Surface Areas and Volumes (पृष्ठीय क्षेत्रफल और आयतन)
This lesson deals with surface areas and volumes of combinations of solids, and conversion of solids from one shape to another.
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Surface Area of Combinations of Solids: English
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Volume of Combinations of Solids: English
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Conversion of Solid from One Shape to Another: Hindi
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Frustum of a Cone: Hindi
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Calculating Surface Area of Combined Shapes
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Not startedVolume of Composite Solids
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Not started14: Statistics (सांख्यिकी)
This lesson covers finding mean, median, and mode of grouped data, and graphical representation using ogives.
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Mean of Grouped Data (Direct Method, Assumed Mean Method, Step-Deviation Method): English
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Mode of Grouped Data: English
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Median of Grouped Data: Hindi
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Graphical Representation of Cumulative Frequency Distribution (Ogives): Hindi
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Finding Mean of Grouped Data
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Not startedConstructing Ogives
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Not started15: Probability (प्रायिकता)
This lesson introduces the concept of probability, theoretical probability, and solving problems based on events.
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Introduction to Probability: English
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Theoretical Probability: Single Events: English
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Introduction to Probability: Hindi
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Problems on Dice, Cards, and Coins: Hindi
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Calculating Probability of Simple Events
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Not startedProbability with Cards
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