Straight Lines
This chapter on Straight Lines has totally three sections. The first section begins with an introduction to 2-dimensional (plane) co-ordinate geometry. The second section deals with important theorems and results such as Distance Formula, Section Formula and equation representing a straight line are dealt as separate articles within the section.The pair of straight lines passing through the origin, general equation for a pair of lines are discussed in detail in the third section.At the end of this section, we have a series of exercises to test your understanding of this chapter,solved examples, previous years’ IIT JEE questions pertaining to this chapter.
In addition to preparing for the JEE mains and advanced exams, Cuemath Founder Manan Khurma's study material is helpful for students who are appearing for CBSE, ICSE and other State board exams.
Basics of Coordinate Geometry
- Coordinate Axes
- Distance and Section Formulae
- Examples on Distance and Section Formulae
- Area of a Triangle Formula
- Examples on Area of a Triangle Formula
- Transformation of Coordinates
Straight Lines and Their Equations and Results
- Slope Intercept Form of a Straight Line Equation
- Intercept Form of a Straight Line Equation
- Normal Form of a Straight Line Equation
- General Form of a Straight Line Equation
- Point and Angle of Intersection of Two Straight Lines
- Examples on Point and Angle of Intersection of Two Straight Lines
- Half Planes Made by a Straight Line
- Length of Perpendicular from a Point to a Line
- Examples on Length of Perpendicular from a Point to a Line
- Concurrency of Three Lines
- Examples on Concurrency of Three Lines Set 1
- Examples on Concurrency of Three Lines Set 2
- Angle Bisectors of Angles Formed by Intersecting Lines
- Examples on Angle Bisectors of Angles Formed by Intersecting Lines
- Polar or Distance Form of a Straight Line Equation
Pairs of Lines and Their Equations and Results
- Introduction to Pairs of Lines
- Pairs of Lines Through the origin
- Examples on Pairs of Lines Through the origin Set 1
- Angle Between Pairs of Lines Through the origin
- Examples on Pairs of Lines Through the origin Set 2
- Examples on Pairs of Lines Through the origin Set 3
- General Equation of a Pair of Lines
- Examples on General Equation of a Pair of Lines Set 1
- Technique of Homogenizing
Straight Lines