# NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines

### Let us start reading the preparation article Regarding CBSE 11 Class

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines

We are familiar with 2D coordinate geometry from earlier classes. In this Chapter, we will continue the study of coordinate geometry to study the simplest geometric figure – a straight line. In NCERT Class 11 Maths Chapter 10 Straight Lines, there are 3 exercises with 52 questions in them and for more practice, 24 questions are given in a miscellaneous exercise. The NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines are solved and designed by our subject experts. These NCERT solutions are very easy to understand and cover all the exercise questions included in the NCERT textbook. The NCERT Solutions for Class 11 Maths help students in their preparation of CBSE class 11 final examination and in various competitive exams like JEE, BITSAT etc.

We all know the meaning of the word ‘straight’. It means without a bend or not curved. A straight line is a line which is not bent or curved. A straight line is the simplest figure in the geometry but it is the most important concept of geometry. Edge of the ruler, building, pencil, pen; hands of clocks etc. are a few examples of straight lines. The NCERT Class 11 Maths Chapter 10 Straight Lines covers important topics like definition of the straight line, the slope of the line, collinearity between two points, the angle between two points, horizontal lines, vertical lines, general equation of a line, conditions for being parallel or perpendicular lines, the distance of a point from a line and many more.

## Important points of NCERT Class 11 Maths Chapter 10 Straight Lines-

• If a non-vertical line passing through the points $\dpi{100} (x_1,\:y_1)$ and  $\dpi{100} (x_2,\:y_2)$ then the slope(m) of the line is given by-

$\dpi{100} m=\frac{y_2-y_1}{x_2-x_1}=\frac{y_1-y_2}{x_1-x_2},\:\:x_1\neq x_2$

• The slope of the line which makes an angle with the positive x-axis is given by $\dpi{100} m = tan\:\alpha \: , \alpha\neq 90^o$.
• The slope of the horizontal line is zero and the slope of the vertical line is undefined.
• An acute angle ($\dpi{100} \theta$) between lines $\dpi{100} L_1$  and  $\dpi{100} L_2$ with slopes $\dpi{100} m_1$ and $\dpi{100} m_2$ is given by-

$\dpi{100} tan \:\theta =|\frac{m_2-m_1}{1+m_1m_2}|\:,\:1+m_1m_2\neq 0$

• Two lines (with slopes $\dpi{100} m_1 \:$ and $\dpi{100} m_2 \:$) are parallel if and only if their slopes ($\dpi{100} m_1=m_2 \:$) are equal.
• Two lines (with slopes $\dpi{100} m_1 \:$ and $\dpi{100} m_2 \:$) are perpendicular if and only if the product of their slopes is –1 or $\dpi{100} m_1.m_2 =-1$.
• The equation of a line passing through the points $\dpi{100} (x_1,\:y_1)$ and  $\dpi{100} (x_2,\:y_2)$ is given by-

$\dpi{100} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Topics of NCERT Grade 11 Maths Chapter-10 Straight Lines

10.1 Introduction

10.2 Slope of a Line

10.3 Various Forms of the Equation of a Line

10.4 General Equation of a Line

10.5 Distance of a Point From a Line

## The complete Solutions of NCERT Class 11 Mathematics Chapter 10 is provided below:

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines - Exercise 10.1

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines - Exercise 10.2

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines - Exercise 10.3

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines - Miscellaneous

## NCERT Solutions for Class 11 Mathematics

 Chapter-1 Sets Chapter-2 Relations and Functions Chapter-3 Trigonometric Functions Chapter-4 Principle of Mathematical Induction Chapter-5 Complex Numbers and Quadratic equations Chapter-6 Linear Inequalities Chapter-7 Permutation and Combinations Chapter-8 Binomial Theorem Chapter-9 Sequences and Series Chapter-10 Straight Lines Chapter-11 Conic Section Chapter-12 Introduction to Three Dimensional Geometry Chapter-13 Limits and Derivatives Chapter-14 Mathematical Reasoning Chapter-15 Statistics Chapter-16 Probability

## NCERT Solutions for Class 11- Subject wise

 NCERT Solutions for Class 11 Biology NCERT Solutions for Class 11 Maths NCERT Solutions for Class 11 Chemistry NCERT Solutions for Class 11 Physics