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RS Aggarwal Class 11 Chapter 20 Solutions (Straight Lines)

RS Aggarwal Class 11 Solutions for Chapter 20 will help you solve questions related to straight lines, the slope of lines, various forms of equations of a line, the distance of a point from a line, shifting origin, etc. The chapter has around 11 exercises with almost 120 questions.

The exercises of Chapter 20 are according to the latest CBSE exam pattern. They also help you build up a strong foundation for JEE, NEET, BITSAT and other entrance exams. To make solving these questions easy for you we have designed stepwise solutions for RS Aggarwal Solutions Class 11 Chapter 20.

The Instasolv team has professional subject matter experts who have years of experience in the field of maths. These experts make combined efforts to give you detailed explanations on every topic of the chapter. You do not need to take the stress anymore as now, you can get access to all the solutions any time and prepare well for your upcoming maths exams easily.

Important Topics for RS Aggarwal Class 11 Solutions for Chapter 20 – Straight Lines

The different topics covered in RS Aggarwal Class 11 Chapter 20 – Straight Lines are: 

  • Coordinate geometry concepts like section formula, area of a triangle, etc. 
  • The slope of a line and different other methods to find it 
  • Finding the angle between two lines using a slope 
  • How to check if lines are parallel or perpendicular using a slope
  • How to prove three points collinear using a slope 
  • Equation of lines 
  • Equation of lines concept which is parallel to x and y-axis
  • Concept of the slope of lines parallel to x and y-axis 
  • Finding the equation of a line when one point and the slope is given to you 
  • Equation of line when you have two points 
  • Equation of line when intercept and slope are given 
  • Finding the equation of a line when both the x and y-intercepts are given 
  • How to find the distance of a point from the line
  • How to find the distance between two parallel lines 

Coordinate Geometry

Coordinate Geometry is a branch of maths in which you can solve the geometrical problems using algebra and the coordinate system.

Quadrants

Quadrants refer to the X and Y axes that divide the coordinate plane into four parts.

The slope of a Line 

A line that is in the coordinate plane mainly forms two angles with the x-axis. Say, one angle is, while the other will be 180o

Some Important Formulas:

Distance Formula 

Distance between the points P (x1, y1) and Q (x2, y2) is 

(x2-x1)2 + (y2– y1)2

Section Formula 

The coordinates of a point that divide the line segment joining the points (x1, y1) and (x2, y2) internally, in a ratio, m:n, are (mx2 + nx1/ m + n, my2 + ny1/m + n )

Some Important Points to Remember 

  • The slope of any horizontal line is zero and that of a vertical line is undefined. 
  • Two lines are said to be parallel if their slopes are equal. 
  • Two lines are said to be perpendicular if the product of the slopes is -1. 
  • Three points, A, B, and C, are collinear if the slope of AB= slope of BC.

Exercise-Wise Discussion of RS Aggarwal Class 11 Chapter 12 – Straight Lines

  • Exercise 20 A

This exercise 20A has 23 Questions in which you have to find points of intersection, coordinates of a point, area of ABC, area of Quadrilateral, the value of K if given points are collinear etc.

  • Exercise 20 B

This exercise 20B has 25 questions in which you have to find slopes in different questions based on different situations.

  • Exercise 20 C

This exercise 20C has 24 questions in which you have to find equations of different sides of a triangle, equation of altitudes of a triangle, equation of perpendicular bisectors, equation of medians, equation of lines etc. 

  • Exercise 20 D

This exercise 20D has 15 questions. All the questions are based on finding the equations of lines. 

  • Exercise 20 E

This exercise 20E has 10 questions in which you have to find equations of lines in different questions.

  • Exercise 20 F

This exercise 20F has 3 questions based on finding equations as asked in the question.

  • Exercise 20 G

This exercise 20G has 9 questions based on reducing the equation, finding the inclination, etc.

  • Exercise 20 H

This exercise 20H has 19 questions in which you have to find the equation of the line, prove different situations, find the difference between parallel lines, find the area of square etc.

  • Exercise 20 I

This exercise 20I has 11 questions in which you have to find equations of medians of triangles, area of a triangle, the value of K, points of intersection etc.

  • Exercise 20 J

This exercise 20J has 10 questions. This exercise has a variety of questions in which you have to solve situations in different ways.

  • Exercise 20 K

This exercise 20K has 10 questions based on almost all topics of the chapter. These questions are a bit difficult but you can find the solutions easily with the team of Instasolv.

Benefits of RS Aggarwal Solutions Class 11 Maths Chapter 20 by Instasolv

Instasolv team provides you with the best RS Aggarwal Solutions of every chapter. The language provided in the notes is easy to understand. You don’t need to worry about your exams preparation timeline as we have prepared everything according to it. Our team focuses on making all the preparation easy for you. You can save a huge panic by taking help from RS Aggarwal Class 11 Maths Solutions for Chapter 20 – Straight Lines during exams. The topics are according to the latest CBSE syllabus so that in minimum time, you can revise all the syllabus with maximum accuracy with the team of Instasolv.