![]() ![]() The line segment, joining any two points on the circumference of the circle, is called a chord.Ī chord, which passes through the centre of the circle is called the diameter and is the largest chord of the circle which is equal to two times the radius. The Perimeter of the circle is called the circumference. That is, ‘radius’ is used in two senses in the sense of a line segment and also in the sense of its length. ![]() The line segment joining the centre and any point on the circle is also called a radius of the circle. The fixed distance is called the radius of the circle. ![]() The fixed point is called the centre of the circle. The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane, is called a circle. Surface Area and Volume of Three Dimensional Figures.Surface Area and Volume of Different Combination of Solid Figures.Conversion of Solid from One Shape to Another.Surface Area of a Combination of Solids.Concept of Surface Area, Volume, and Capacity.Areas of Sector and Segment of a Circle.Perimeter and Area of a Circle - A Review.Graphical Representation of Cumulative Frequency Distribution.Trigonometric Ratios of Some Special Angles.Trigonometric Ratios and Its Reciprocal.Trigonometric Ratios of Complementary Angles.Application of Pythagoras Theorem in Acute Angle and Obtuse Angle.Right-angled Triangles and Pythagoras Property.Basic Proportionality Theorem (Thales Theorem).Number of Tangents from a Point on a Circle.Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles.Relationship Between Zeroes and Coefficients of a Polynomial.Geometrical Meaning of the Zeroes of a Polynomial.Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated.Relationship Between Discriminant and Nature of Roots.Nature of Roots of a Quadratic Equation.Solutions of Quadratic Equations by Completing the Square.Solutions of Quadratic Equations by Factorization.Arithmetic Progressions Examples and Solutions.Application in Solving Daily Life Problems.Sum of First ‘n’ Terms of an Arithmetic Progressions.General Term of an Arithmetic Progression.Algebraic Conditions for Number of Solutions.Inconsistency of Pair of Linear Equations.Consistency of Pair of Linear Equations.Equations Reducible to a Pair of Linear Equations in Two Variables.Graphical Method of Solution of a Pair of Linear Equations.Pair of Linear Equations in Two Variables.Rational Numbers and Their Decimal Expansions.Fundamental Theorem of Arithmetic Motivating Through Examples.Intersecting Chords Theorem at proofwiki.Bruce Shawyer: Explorations in Geometry. ![]() Paul Glaister: Intersecting Chords Theorem: 30 Years on.Next to the tangent-secant theorem and the intersecting secants theorem the intersecting chords theorem represents one of the three basic cases of a more general theorem about two intersecting lines and a circle - the power of point theorem. ![]()
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