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RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23.16) Exercise 23.16

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Last updated date: 04th Mar 2024
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IVSAT 2024

RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23.16) Exercise 23.16 - Free PDF

Free PDF download of RD Sharma Class 11 Solutions Chapter 23- Exercise 16 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 23 - The Straight Lines Ex 23.16 Questions with Solutions for RD Sharma Class 11 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Competitive Exams after 12th Science

Important topics covered in class 11 Straight lines

Class 11 Chapter 23 Straight Lines is a part of the Coordinate Geometry section that explains the different interactions of lines and their properties. It’s a dense topic and in class 11 students should make their own notes to revise and study straight lines.


There are many topics to be discussed in this chapter as it carries a lot of importance in class 11 Term-1 examination and also in competitive exams such as  JEE mains and JEE Advance. 


Some of the important topics covered in class 11 Straight lines are -

  • The slope of a line

  • Horizontal and Vertical Lines

  • The normal form of lines

  • Point-slope form of lines 

  • Two-point form of lines 

  • The slope-intercept form of lines

  • Intercept form of lines

FAQs on RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23.16) Exercise 23.16

1. Where can I find RD Sharma Class 11 Solutions Chapter 23 Exercise 23.16 solutions of class 11 Straight Lines?

Class 11 students can find detailed solutions to the RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines Exercise 23.16 and other exercises of RD Sharma Straight lines on Vedantu. These solutions are solved by the expert teachers of Vedantu and the students can trust them. Class 11 students can also find great FREE resources on straight lines on Vedantu. 

2. How to calculate the distance between two parallel lines?

Parallel lines are the lines when infinitely extended will never meet at any point. They always have the same slope. To calculate the distance between class 1 students must first see what data is given in the question. If (ax+by+c1=0) and (ax+by+c2=0) are two parallel lines, then to find the distance between the students can use the ratio of the coefficients of the x and y which are equal. Thus, the distance between 2 parallel lines can be found by replacing values in the formula-  


\[\left | (C_{2}-c_{1})\div \sqrt{a_{2}+b_{2}} \right |\sqrt{a_{2}+b_{2}}\]

3. How to get the angle between two intersecting straight lines?

Class 11 students can calculate the angle between 2 lines by using the slope of the 2 lines. The student can get the angle between two lines by applying trigonometric tangent function onto the 2 lines. If m1 and m2 are 2 slopes of the 2 lines, the acute angle X can be calculated by the formula-  

\[\tan x=\left | m_{2}-m_{1} \div 1+m_{1} \times  m_{2} \right |\]


This is how class 11 students can calculate the angle between two intersecting straight lines directly by knowing the slopes of 2 lines. To know the full process, students can check out Vedantu’s Official website.

4.What type of questions can be asked from RD Sharma class 11 straight lines exercise 23.16?

There are many types of questions that can be framed from RD Sharma class 11 straight lines exercise 23.16. That's why understanding fundamentals is important. 

Some of the common question types are-

  • Calculate the area of square with equations of lines.

  • Prove the conditions of perpendicularity and parallelism of straight lines in terms of their slopes.

  • Finding the equation of line which parallel to another line and a point given.

  • Find if two points are collinear on a line.

  • Find out different points from the equation of a line.

  • Finding the midway line between 2 parallel lines.

  • Calculate the distance of a point from a line.

  • Calculate the distance between two parallel lines.

5. What is the point-slope form of lines?

The Point-Slope form of lines is used to find the equation of the straight line which is inclined at a given slope to the x-axis and passes right through a given point. In other words, the Point-Slope form is used to show a straight line using its slope and a single point on the line.


The formula for the Point-Slope form of a line is- y2y1 = m (x2x1)