2D Coordinate Geometry

Course in Mathematics: A Lecture-wise Approach is a complete resource that is designed to help students master mathematics for the coveted IIT-JEE, AIEEE, state-level engineering entrance exams and all other state senior secondary exams, in addition to the AISSSCE. This meticulously crafted and designed series reflects the command and authority of the authors on the subject. The series adopts an easy step-by-step approach to make learning mathematics at the senior secondary level a joyful experience.


Key Features:

Adopts a well-defined, meticulously planned and smartly structured learning approach. Includes lecture-wise tests that help revise each completed lecture. Contains Speed Accuracy Sheets that improve the speed and accuracy of students and help them revise key concepts. Provides innovative tips and tricks that are easy to apply and remember. Includes solved Topic-Wise Question Banks to enhance the comprehension and application of concepts.


Table of Contents:

PART A Coordinate Geometry Lecture 1 Cartesian Coordinates 1 (Introductions, distance formula and its application, locus of a point) Lecture 2 Cartesian Coordinates 2 (Section formula, area of triangle, area of quadrilateral) Lecture 2 Cartesian Coordinates 2 (Slope of a line, special points in triangle (centroid, circumcentre centroid, orthocenter, incentre and excentre ) PART B Straight Line Lecture 1 Straight Lines 1 (Some important results connected with one straight line, point-slope form, symmetric form or distance form, two points form, intercept form equation of the straight lines) Lecture 2 Straight Lines 2 (Normal form equation of the straight line, the general form equation of the straight line, reduction of the general form into different cases, position of points with respect to the straight line ax + by + c and the perpendicular distance of point from the line ax + by + c = 0) Lecture 3 Straight Lines 3 (Foot of perpendicular, reflection point or image, some important results connected with two straight lines, angle between two straight lines) Lecture 4 Straight Lines 4 (Distance between two parallel lines; position of origin (0, 0) with respect to angle between two lines, angular bisectors of two given lines, some important points connected with three straight lines) Lecture 5 Straight Lines 5 (Miscellaneous questions, revision of straight lines, some harder problems) PART C Pair of Straight Lines Lecture 1 Pair of Straight Lines 1 (Homogeneous equations of second degree and their various forms) Lecture 2 Pair of Straight Lines 2 (Some important results connected with two homogenous pair of straight line , general equation of second degree) PART D Circle Lecture 1 Circle 1 D.3 D.14 (Equation of circle in various forms) Lecture 2 Circle 2 D.15 D.34 (Relative position of point with respect to circle, parametric form of equation of circle, relative position of line and circle) Lecture 3 Circle 3 D.35 D.56 (Relative position of circles, pair of tangents and chord of contact draw from an enternal point) PART E Conic Section Lecture 1 Parabola 1 Lecture 2 Parabola 2 Lecture 3 Ellipse 1 Lecture 4 Ellipse 2 (Position of line with respect to an ellipse, diameter, tangents and normals, chord of content) Lecture 5 Hyperbola Test Your Skills