IIT JEE Super Course in Mathematics: Coordinate Geometry and Vector Algebra

Cover
Contents
Preface
Chapter 1: Straight Lines
	Study Material
		Coordinate Systems
		Slope or Gradient of a Straight Line
		Intercepts of a Straight Line
		Equation of a straight line
		Point of Intersection of Two Lines
		Concurrency of Three Lines
		Angle Between Two Lines
		Normal Form of the Equation of a Line
		Sign of ax + by + c
		Length of Perpendicular Distance From a Point (x1, y1) to the line ax + by + c = 0
		Equations of the Bisectors of the Angles Between two Straight Lines Whose Equations are Given
		Pair of Straight Lines
		General Equation of Second Degree in x and y
		Change of Origin
		To Obtain the Coordinates of the Point of Intersection of the Lines Represented by ax2 + 2hxy + by2 + 2gx + 2fy + c = 0
		Topic Grip
			Subjective Questions
			Straight Objective Type Questions
			Assertion–Reason Type Questions
			Linked Comprehension Type Questions
			Multiple Correct Objective Type Questions
			Matrix-Match Type Question
		IIT Assignment Exercise
			Straight Objective Type Questions
			Assertion–Reason Type Questions
			Linked Comprehension Type Questions
			Multiple Correct Objective Type Questions
			Matrix-Match Type Question
		Additional Practice Exercise
			Subjective Questions
			Straight Objective Type Questions
			Assertion–Reason Type Questions
			Linked Comprehension Type Questions
			Multiple Correct Objective Type Questions
			Matrix-Match Type Question
	Solutions
		Answer Keys
		Hints and Explanations
Chapter 2: Circles and Conic Sections
	Study Material
		Circles and Conic Sections
		Circles
		Equation of the Tangent to a Circle at a Point on it
		Common Tangents to Two Circles
		Orthogonal Circles
		Conic Sections
		Parabola
		Ellipse
		Hyperbola
		Conjugate Hyperbola
		Rectangular Hyperbola
		Topic Grip
			Subjective Questions
			Straight Objective Type Questions
			Assertion Reason Type Question
			Linked Comprehension Type Questions
			Multiple Correct Objective Type Questions
			Matrix-Match Type Questions
		IIT Assignment Exercise
			Straight Objective Type Questions
			Assertion–Reason Type Questions
			Linked Comprehension Type Questions
			Multiple Correct Objective Type Questions
			Matrix-Match Type Questions
		Additional Practice Exercise
			Subjective Questions
			Straight Objective Type Questions
			Assertion–Reason Type Question
			Linked Comprehension Type Questions
			Multiple Correct Objective Type Questions
			Matrix-Match Type Questions
	Solutions
		Answers Keys
		Hints and Explanation
Chapter 3: Vector Algebra and Three Dimensional Geometry
	Chapter Outline
		Introduction to Vectors
		Three dimensional Coordinate System
		Components of a Vector Along the Axes of a Rectangular Cartesian Coordinate System
		Product of Vectors
		Scalar Product or Dot Product or Inner Product of Two Vectors
		Vector Product or Cross Product of Two Vectors
		Scalar and Vector Products Involving More Than Two Vectors
		Products of Four Vectors
		Three Dimensional Geometry
		Plane
		Straight Lines
		Consistency of a Non-homogeneous Linear System of Equations
		Vector Algebra
		Three Dimensional Geometry
		Topic Grip
			Subjective Questions
			Straight Objective Type Questions
			Assertion–Reason Type Questions
			Linked Comprehension Type Questions
			Multiple Correct Objective Type Questions
			Matrix-Match Type Question
		IIT Assignment Exercise
			Straight Objective Type Questions
			Assertion–Reason Type Questions
			Linked Comprehension Type Questions
			Multiple Correct Objective Type Questions
			Matrix-Match Type Question
		Additional Practice Exercise
			Subjective Questions
			Straight Objective Type Questions
			Assertion–Reason Type Questions
			Linked Comprehension Type Questions
			Multiple Correct Objective Type Questions
			Matrix-Match Type Questions
	Solutions
		Answer Keys
		Hints and Explanations