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

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-  

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

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.

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.

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- y₂ – y₁ = m (x₂ – x₁)