NCERT Solution Class 11 Chapter 10- Straight Lines

NCERT Solutions For Class 11 Maths Chapter 10 PDF Free Download

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines provided here can be extremely beneficial for the students in their Maths exam preparation. Hence, students aspiring to outshine in the Maths exam can refer to the NCERT Solutions given below. The Solutions at BYJU’S for Straight Lines contain comprehensive and straightforward answers for the questions given in the textbook. Experienced teachers of the Maths develop these solutions, practising which the students can improve their understanding of essential topics.

We know that Chapter 10 structures to be an indispensable part of the Class 11 Maths syllabus. The important topics covered in the chapter are slope of a line, Horizontal and vertical Lines, Point-slope form, Two-point form, Slope-intercept form, Intercept – form as well as Normal form. Thus, to assist students in mastering all these topics, our experts have made sure that they solve all the questions using simple methods and formula. 

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NCERT Solutions for Class 11 Maths Chapter 10- Straight Lines

Chapter 10 Straight Lines of NCERT Solutions for Class 11 includes the main topics such as

10.1 Introduction

10.2 Slope of a Line

10.2.1 Slope of a line when coordinates of any two points on the line are given

10.2.2 Conditions for parallelism and perpendicularity of lines in terms of their slopes

10.2.3 Angle between two lines

10.2.4 Collinearity of three points

10.3 Various Forms of the Equation of a Line

10.3.1 Horizontal and vertical lines

10.3.2 Point-slope form

10.3.3 Two-point form

10.3.4 Slope-intercept form

10.3.5 Intercept – form

10.3.6 Normal form

10.4 General Equation of a Line

10.4.1 Different forms of Ax + By + C = 0

10.5 Distance of a Point From a Line

10.5.1 Distance between two parallel lines

Exercise 10.1 Solutions 14 Questions

Exercise 10.2 Solutions 20 Questions

Exercise 10.3 Solutions 18 Questions

Miscellaneous Exercise On Chapter 10 Solutions 24 Questions

NCERT Solutions for Class 11 Maths Chapter 10- Straight Lines

The Straight Lines is a possession to the unit Coordinate Geometry, that adds up to 10 marks of the total 80 marks. A total of 4 exercises are present in this chapter to provide them with the maximum study resources. Some of the concepts discussed in Chapter 10 of NCERT Solutions for Class 11 Maths are as given below:

  1. Slope (m) of a non-vertical line.
  2. If a line makes an angle á with the positive direction of x-axis, then the slope of the line is given by m = tan α, α ≠ 90°.
  3. Slope of a horizontal line is zero and slope of vertical line is undefined.
  4. Two lines are parallel if and only if their slopes are equal.
  5. Two lines are perpendicular if and only if the product of their slopes is –1.
  6. Three points A, B and C are collinear if and only if slope of AB = slope of BC.
  7. Equation of the horizontal line having distance a from the x-axis is either y = a or y = – a.
  8. Equation of the vertical line having distance b from the y-axis is either x = b or x = – b.
  9. The point (x, y) lies on the line with slope m and through the fixed point (xo , yo ), if and only if its coordinates satisfy the equation y – yo = m (x – xo).
  10. The point (x, y) on the line with slope m and y-intercept c lies on the line if and only if y = mx + c.
  11. If a line with slope m makes x-intercept d. Then equation of the line is y = m (x – d).
  12. The equation of the line having normal distance from origin p and angle between normal and the positive x-axis ω is given by cosω+ sinω = pyx .
  13. Any equation of the form Ax + By + C = 0, with A and B are not zero, simultaneously, is called the general linear equation or general equation of a line

Brief recall of two-dimensional geometry from earlier classes, Shifting of origin, Slope of a line and angle between two lines, Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form, and normal form, General equation of a line, equation of family of lines passing through the point of intersection of two lines, distance of a point from a line are the topics that the students must have grasped tight by learning these concepts.

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