Embibe Big Book for Mathematics for NTSE Stage II

Mathematics

Areas Related to Circles

This chapter covers topics, such as Areas of Sector and Segment of a Circle, Perimeter and Area of a Circle & Areas of Combinations of Plane Figures etc.

This topic covers concepts, such as Circle, Circumference of a Circle & Area of a Circle etc.

Perimeter and Area of a Circle

This topic covers concepts, such as Relation between Areas of Major and Minor Segments of a Circle, Length of an Arc of a Circle, Areas Related to Circles, Area of Sector of a Circle, Area of a Segment of a Circle & Relation between Areas of Sector and Segment of a Circle etc.

Areas of Sector and Segment of a Circle

This topic covers concepts & such as Areas of Combinations of Plane Figures etc.

Areas of Combinations of Plane Figures

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Area of Minor and Major Segments

Problem on Area of Minor Segment

Problem on Area of Path Around a Circular Region

Areas of a Sector and a Segment of a Circle

Concept of Arc, Area and Perimeter of Sector

Problems on Annular Regions

Problems on Area of Circles

Definition of Pi (π)

This chapter covers topics, such as The Mid-point Theorem, Properties of a Parallelogram, Types of Quadrilaterals & Angle Sum Property of a Quadrilateral etc.

Quadrilaterals

This chapter covers topics, such as Angle Sum Property of a Triangle, Pairs of Angles, Lines Parallel to the Same Line, Basic Terms for Angles between Lines, Intersecting Lines and Non-intersecting Lines & Parallel Lines and a Transversal etc.

Lines and Angles

This chapter covers topics, such as Special Points in a Triangle, Introduction to Coordinate Geometry, Section Formula, Distance Formula, Quadrilaterals & Area of a Triangle Formula etc.

Coordinate Geometry

This chapter covers topics, such as Triangles on the Same Base and between the Same Parallels, Parallelograms on the Same Base and between the Same Parallels & Understanding Area of Plane Figures etc.

Area of Parallelogram and Triangles

This chapter covers topics, such as Euclid's Definitions, Axioms and Postulates & Equivalent Versions of Euclid's Fifth Postulate etc.

Introduction to Euclid's Geometry

This chapter covers topics, such as Surface Area of a Cuboid and a Cube, Volume of a Combination of Solids, Surface Area of a Right Circular Cone, Surface Area of a Combination of Solids, Surface Area of a Sphere, Frustum of a Pyramid, Solid Shapes, Volume of a Cuboid, Volume of a Sphere, Volume of a Cylinder, Conversion of Solid from One Shape to Another, Surface Area of a Right Circular Cylinder, Volume of a Right Circular Cone & Frustum of a Cone etc.

Surface Areas and Volumes

This chapter covers topics, such as Inequalities in a Triangle, Similar Figures, RHS and SSS Criteria for Congruence, Similarity of Triangles, Criteria for Similarity of Triangles, Areas of Similar Triangles, Congruence of Triangles, Angle Bisector Theorem, Pythagoras Theorem, Properties of a Triangle & Criteria for Congruence of Triangles etc.

Triangles

This chapter covers topics, such as Basic Constructions, Division of a Line Segment, Construction of a Triangle, Constructions of Triangles & Construction of Tangents to a Circle etc.

Constructions

This chapter covers topics, such as Tangent to a Circle, Angle Subtended by an Arc of a Circle, Angle Subtended by a Chord at a Point, Circles and its Related Terms, Perpendicular from the Centre to a Chord, Equal Chords and their Distances from the Centre, Number of Tangents from a Point on a Circle, Circle through Three Points, Cyclic Quadrilaterals & Intersection between Circle and Line etc.

Circles

This chapter covers topics, such as Area of Quadrilateral Using Heron's Formula, Area of Triangle Using Base and Height & Area of Triangle Using Heron's Formula etc.

Heron's Formula

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Areas Related to Circles

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