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SYLLABUS
Coordinate Geometry
Chapter-1
Locus 1.1 Definition of Locus – Illustrations 1.2 Equation of Locus – Problems connected to it.
Chapter-2
Transformation of Axes 2.1 Transformation of axes – Rules, Derivations and Illustrations 2.2 Rotation of axes – Derivations – Illustrations.
Chapter-3
The Straight line 3.1 Revision of fundamental results 3.2 Straight line – Normal form – Illustrations 3.3 Straight line – Symmetric form 3.4 Straight line – Reduction into various forms 3.5 Intersection of two straight lines 3.6 Family of straight lines – Concurrent lines 3.7 Condition for Concurrent lines 3.8 Angle between two lines 3.9 Length of the perpendicular from a point to a line 3.10 Distance between two parallel lines 3.11 Concurrent lines – Properties related to a triangle.
Chapter-4
Pair of Stratight Lines 4.1 Equations of a pair of lines passing through the origin, Angle between a pair of lines 4.2 Condition for perpendicular and coincident lines, bisectors of angles 4.3 Pair of bisectors of angles 4.4 Pair of lines – Second degree general equation 4.5 Conditions for parallel lines – Distance between them, Point of intersection of pair of lines 4.6 Homogenizing a second degree equation with a first degree equation in x and y.
Chapter-5
Three Dimensional Coordinates 5.1 Coordinates 5.2 Section formula 5.3 Solved Problems.
Chapter-6
Direction Cosines and Direction Ratios 6.1 Direction cosines 6.2 Direction ratios.
Chapter-7
The Plan 7.1 Cartesian equation of a plane – Simple illustrations Calculus.
Chapter-8
Limits and continuity 8.1 Intervals and neighbourhoods 8.2 Limits 8.3 Standard limits 8.4 Continuity.
Chapter-9
Differentiation 9.1 Derivative of a function 9.2 Elementary properties 9.3 Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic functions – Derivatives 9.4 Methods of Differentiation 9.5 Second Order Derivatives.
Chapter-10
Applications of Derivatives 10.1 Errors and approximations 10.2 Geometrical interpretation of a derivative 10.3 Equations of tangent and normal to a curve 10.4 Lengths of tangent, normal, subtangent and subnormal 10.5 Angle between two curves and condition for orthogonality of curves 10.6 Derivative as a rate of change 10.7 Rolle’s Theorem and Lagrange’s Mean Value Theorem 10.8 Increasing and Decreasing functions 10.9 Maxima and Minima.
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CategoriesGeneral Mathematics
Format EPUB
TypeeBook