2D Coordinate Geometry : Course in Mathematics for the IIT-JEE and Other Engineering Entrance Examinations

Cover
Contents
Preface
Part A: Cartesian Coordinates
	Lecture 1: Cartesian Coordinates 1: (Introduction, distance formula and its application, locus of a point)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 2: Cartesian Coordinates 2: (Section formula, area of triangle, area of quadrilateral)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 3: Cartesian Coordinates 3: (Slope of a line, special points in triangle (centroid, circumcentre centroid), orthocenter, incentre and excentre)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
Part B: Straight Line
	Lecture 1: Straight Line 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)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 2: Straight Line 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)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 3 : Straight Line 3: (Foot of perpendicular, reflection point or image, some important results connected with two straight lines, angle between two straight lines)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 4: Straight Line 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)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 5: Straight Line 5: (Miscellaneous questions, revision of straight lines, some harder problems)
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
Part C: Pair of Straight Lines
	Lecture 1: Pair of Straight Lines 1: (Homogeneous equations of second degree and their various forms)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 2: Pair of Straight Lines 2: (Some important results connected with two homogenous pair of straight lines, general equation of second degree)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
Part D: Circle
	Lecture 1: Circle 1: (Equation of circle in various forms)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 2: Circle 2: (Relative position of point with respect to circle, parametric form of equation of circle, relative position of line and circle)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 3: Circle 3: (Relative position of circles, pair of tangents and chord of contact draw from an enternal point)
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
Part E: Conic Section
	Lecture 1: Parabola 1
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 2: Parabola 2
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 3: Ellipse 1
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 4: Ellipse 2 (Position of line with respect to an ellipse, diameter, tangents and normals, chord of content)
		Basic Concepts
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
	Lecture 5: Hyperbola
		Basic Concepts
		Solved Subjective Problems (XII Board (C.B.S.E./State)): For better understanding and Concept Building of the Topic
		Unsolved Subjective Problems (XII Board (C.B.S.E./State)): To GRASP the Topic Solve these Problems
		Answers
		Solved Objective Problems: Helping Hand
		Objective Problems: Important Questions with Solutions
		Solutions
		Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy
		Worksheet: To Check the Preparation Level
		Answer Sheet
		Hints and Explanations
Test Your Skills
	Assertion/Reasoning
	Assertion/Reasoning: Solutions
	Mental Preparation Test
	Mental Preparation Test Answers
	Topicwise Warmup Test 1
	Topicwise Warmup Test 2
	Topicwise Warmup Test 3
	Topicwise Warmup Test 1: Solutions
	Topicwise Warmup Test 2: Solutions
	Topicwise Warmup Test 3: Solutions
	Question Bank: Solve these to Master
	Answers