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Principal, All Kendriya Vidyalayas, Delhi Region Subject:- ग्रीष्म अवकाश में ववद्यार्थियों के लिए चयनित पाठों (Lessons / Units) का स्वयं अध्ययि (Self-Study) हे तु निर्दे श के संबध ं में । Madam / Sir, With reference to letter no. फ॰स॰ 190346 / रिजल्ट / के॰वव॰स॰(दर्द॰स॰) / 2016 / स॰अ॰ dated 03.05.2016, the lessons / units chosen for self study in the subject of Mathematics, during ensuing Summer Vacation 2016-17 by students of class IX, X and XII are detailed as below. As such, you are requested to inform the students accordingly. Distribution of Lessons / Units for self-study in Summer Vacation 2016-17 Class Chapter Lines and Angles IX Triangles Co-ordinate Geometry Polynomials X Pair of Linear Equations in Two Variables Triangles Sub Topic Definitions of line, Ray, line segment, angle Types of Angles and their relationship in well-known figures, Properties of transversal and parallel lines, Well known axioms in lines and angles Definitions of different triangles, Theorems on triangles, Proofs of theorems on Congruent triangles, Inequalities in triangles Plotting of a point in Cartesian Plane and identifying figures by joining the given points Definition of algebraic expression, Polynomial, Degree of Polynomials, Zeros of Polynomials Relationship between zeros & coefficient of polynomials, Division Algorithm & Remainder theorem Conditions for solution of simultaneous linear equations and obtaining their graphical and algebraic solutions. Classification and terminology of triangles, Theorems on triangles, Proofs of theorems on Congruent triangles, Inequalities in triangles, Proof of theorems and properties of similar triangles along with their applications Distribution of Lessons / Units for self-study in Summer Vacation 2016-17 Class XII Sub Topic Proving various formulae pertaining to inverse functions Proving theorems on Invertible and composition of Relations and Function functions Proving properties of Inverse trigonometric functions Finding domain and range of well-known algebraic and trigonometric functions Introduction, Scalar And Vectors, Vector Algebra Operations on Vectors, Scalar product And Vector Product, Scalar triple Product Direction Cosines and Direction Ratios of a Line, Equations of Line in Space, Angle between Two Lines, Conditions of Parallelism and Perpendicularity Three Dimensional Points of intersection of two lines Geometry Shortest distance and distance between two parallel lines Equations of Plane in space , Points of Intersection of a lines and a Plane ARVIND GAUR Principal KV DL, Meerut Cantt. Chapter