NCERT Exemplar Solutions for Class 11 Maths Chapter 10 – Straight Lines

# NCERT Exemplar Solutions for Class 11 Maths Chapter 10 – Straight Lines

Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 10: Straight Lines, which includes thorough solutions for reference. All of the unsolved questions from the textbook’s exercises are answered here. The NCERT Exemplar Solutions for Class 11 provide useful solutions for improving conceptual knowledge and help in entrance examinations like JEE mains and advanced.

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The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class 11. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 11 pupils perform well in upcoming competitive exams.

The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.

After going through the solutions and examples given in NCERT Class 11 Chapter 10 Students get strong command on the above topics and sub-topics. These also enhance the ability of students to solve complex and tricky problems.

## NCERT Exemplar Solutions for Class 11 Maths Chapter 10- Straight Lines

The Straight-line topic comes under the unit Coordinate Geometry which is included in the syllabus of the first term of class 11 for sessions 2021-22. This topic covers 10 marks out of 80 marks. This chapter contains 4 exercises by going through which students get clear concepts and command of the topic straight line. The concepts which are given in the solution of NCERT Maths Class 11 Chapter 10 are listed below:

1. Slope (m) for a non-vertical line.
2. When any line subtends an angle α in the positive direction of the x-axis, then the slope of the respective line is given by the equation, where
3. For a horizontal line, the slope is equal to zero and for a vertical line, the slope is undefined.
4. If the slope of the two lines is equal, then these are said to be parallel.
5. If the product of the slope of the two lines is equal to -1, then these lines are said to be perpendicular.
6. If the slope of AB = slope of BC, then the points are said to be collinear.
7. The horizontal line which is at a distance’ a’ from the x-axis.
8. The vertical line which is at distance ‘b’ from the y-axis is either given by the equation or,
9. The line having slope m and the x, y coordinate as is represented by the equation
10. The line having slope m and y-intercept c is represented by the equation
11. The line having slope m and x-intercept d is represented by the equation
12. The line having ‘p’ as a normal distance from the origin and ‘ω’ as an angle between normal and the positive x-axis is represented by the equation
13. Any general linear equation or general equation of the line is of the form such that A and B are not equal to zero.

After going through the problems with solutions and solved examples in the chapter Straight line of Class 11 students gets a strong command on the topics, Shifting of origin, Slope of a line and angle between two lines, Equations of various types of line like parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form, and normal form, General equation of a line, equation of the family of lines passing through the point of intersection of two lines, the distance of a point from a line.

##### What are the concepts covered in Chapter 10 Straight Lines of NCERT Exemplar Solutions for Class 11 Maths?

By going through the NCERT Maths solution of Class 11 Chapter 10 Straight Lines students get the basic knowledge of the topic coordinate geometry which is included in the first term CBSE syllabus of Maths Class 11. The graphical and algebraic representation of straight lines are also covered in this chapter. Along with the general equation of line, the representation and application of the first degree equation is explained here.

##### Explain the equation of a line in general form as per Chapter 10 of NCERT Exemplar Solutions for Class 11 Maths.

Among various kinds of equations of a straight line, the most common form of a linear equation is the general equation which is represented by the equation, where, x, y are the variables representing the coordinates of the respective axes and are constants which are real numbers.

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In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.

Question: Mention the topics and subtopics covered in the Chapter 10 of NCERT Exemplar Solutions for Class 11 Maths.

Answer: The topics and sub-topics that are covered in the NCERT Maths textbook for Class 11 Chapter 10 – Straight Lines as listed below:

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 the equation

10.5 Distance of a Point From a Line

10.5.1 Distance between two parallel lines

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