Table of Contents
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.
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:
- Slope (m) for a non-vertical line.
- 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
- For a horizontal line, the slope is equal to zero and for a vertical line, the slope is undefined.
- If the slope of the two lines is equal, then these are said to be parallel.
- If the product of the slope of the two lines is equal to -1, then these lines are said to be perpendicular.
- If the slope of AB = slope of BC, then the points are said to be collinear.
- The horizontal line which is at a distance’ a’ from the x-axis.
- The vertical line which is at distance ‘b’ from the y-axis is either given by the equation or,
- The line having slope m and the x, y coordinate as is represented by the equation
- The line having slope m and y-intercept c is represented by the equation
- The line having slope m and x-intercept d is represented by the equation
- 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
- 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.
Frequently Asked Questions
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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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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