Lucent SSC Higher Mathematics Part 2 PDF Download Free – By Rishikesh Kumar | Lucent Maths Book for SSC CGL | Lucent Maths Book Part 2 PDF
This book contains all the questions with answer explanation. It is good book for the candidates who are preparing for the government exams SSC CGL, CHSL, CPO, Stenographer etc.
Chapter Name | Topics |
Algebraic Identities | Formulas for two, three, four and five index, Ordinary & Special factors, Componendo – dividendo, Ratio – proportion, Remainder Theorem and Factor Theorem, Questions |
Indices | Meaning of index, Important formulae about indices, Surd, Type of Surds – Pure, Mixed, Similar Surds, Order of the surds, Conjugate of surds, Condition for two surds to be equal, Rationalization of Denominator of a surd, examples |
Graphical Solution of Linear Equation | Equation of a straight line in different cases, Equation of axes, Point of intersection, Area of triangle formed by straight lines in different cases, Slope of line, Solution of corresponding equation of straight lines, Consistent and Inconsistent system of equations, Area of trapezium between two lines and axes, Definition of Modulus and its graph, Questions with explanation |
Lines and Angles | Line segment and ray, Collinear points and Non-collinear points, Types of angles – Acute, Right, Obtuse, Straight, Reflex, Types of Triangle according to angles, Exterior and Interior opposite angles of a triangle, Questions |
Congruent and Similar Triangle | Meaning for Congruent, Condition for congruence of two triangles, Conditions for two triangles to be similar, Relation between similarity and congruity, Important properties of triangles, Stewart Theorem, Appolonius Theorem, Relation among areas, sides, altitudes and perimeters of similar triangles, Relation regarding areas of congruence and similarities of triangle, Some properties of isosceles and equilateral triangle, Questions |
Centre of Triangle | Centre of a triangle, Centroid, Incentre, Circumcentre, Orthocentre, Important properties of centroid, Relation among sides and medians of a triangles, important properties of Incentre, Mixed properties of centres of a triangles, Ceva Theorem, Menelaus Theorem, Questions |
Quadrilateral | Types of Quadrilateral and their properties – Parallelogram, Rectangle, Rhombus, Square, Trapezium, And their properties |
Circle and its Trangent Lines | Main Geometric properties related to circle, Tangent and Normal to a circle, Number of common tangents to the two circles, Important properties of cyclic Quadrilateral, Transverse Common Tangents, Common chord, Questions |
Measurement of Angle : Radian and Degree | To measure an angle in degree, radian, Relation between degree measure and radian measure, Relation between length of arc (l), radius (r), angle (θ), Questions |
Trigonometric Ratio of Specific Angles | Trigonometric Ratio, Meaning of sin2θ , cose2θ, Value of some specific angle of trigonometrical (t) – ratio function, Minimum and maximum value of t-ratio functions when 0 <=θ <= 90, Trigonometric Inequalities, Questions |
Elementary Trigonometric Identities | Trigonometric Identities, Other Identities, Questions |
Height and Distance | Line of sight, Horizontal line, Angle of elevation, Angle of depression, Angle subtended by a line at a point, Sun’s altitude and shadow, Fundamental concept to solve the question on height and distance |
Advanced Trigonometric Identities | Compound Angle, Multiple and sub-multiple angle, Quadrant rules, Questions |
Size : 77 MB
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Author : Rishikesh Kumar
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