NCERT Solutions for Class 11 Maths Chapter 10 - Straight Lines

Straight lines chapter in class 11th Maths is a recollection of concepts learned in previous standard two-dimensional geometry topics. In class 11, this topic has been explained thoroughly, concentrating on concepts of the slope of a line and slope of the angle between two lines, shifting of origin. The sub-topics such as point-slope form, two-point form, slope-intercept form, normal form, and numerous other forms of equations related to a line and the ones that are parallel to the axis are also studied in detail.

The chapter also consists of a few more topics that are discussed, like the general equation of a line, finding the equation of a cluster of lines that passes through the crossing/junction of two lines, how far is a point from a line (i.e. the distance between the two), and more. A total of three exercises and a miscellaneous exercise have been published at the end of this chapter to get a good revision of this topic.

Let's have a look at the topics of this chapter.

• The Slope of a Line

It can be calculated when the coordinates of any two points on the line are provided. Conditions related to parallelism and perpendicularity of lines concerning their slopes, the angles between two lines, and collinearity of three points are also helpful.

• Various types of Equation of a Line

Vertical and Horizontal Lines, Point slope type, Two-point type, Slope intercept type, Intercept type, and Normal-type have been described.

• General Equation of a Line

Different types of Ax + By + C = 0

• Length of a Point from a Line

Measuring the Length between two parallel lines