CA Foundation Exam > CA Foundation Questions > The length of the perpendicular from the poin...
Start Learning for Free
The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is?
Most Upvoted Answer
The length of the perpendicular from the point (2,5) on the line 4x-3y...
Finding the Length of the Perpendicular from the Point (2,5) on the Line 4x-3y=18
To find the length of the perpendicular from a point to a line, we need to follow these steps:
Step 1: Find the equation of the line
The equation of the line can be written in the slope-intercept form y=mx+b, where m is the slope of the line and b is the y-intercept. However, the given equation 4x-3y=18 is not in the slope-intercept form. So, we need to convert it into that form.
4x-3y=18
-3y=-4x+18
y=(4/3)x-6
Therefore, the equation of the line is y=(4/3)x-6.
Step 2: Find the slope of the line
The slope of the line is the coefficient of x in the equation of the line. So, the slope of the line y=(4/3)x-6 is 4/3.
Step 3: Find the slope of the perpendicular line
The slope of the perpendicular line is the negative reciprocal of the slope of the given line. So, the slope of the perpendicular line is -3/4.
Step 4: Find the equation of the perpendicular line
We can use the point-slope form of a line to find the equation of the perpendicular line. The point-slope form of a line is y-y1=m(x-x1), where m is the slope of the line and (x1,y1) is a point on the line. In this case, we can use the point (2,5) on the perpendicular line and the slope -3/4 to get the equation of the perpendicular line.
y-5=(-3/4)(x-2)
y=(-3/4)x+(23/4)
Therefore, the equation of the perpendicular line is y=(-3/4)x+(23/4).
Step 5: Find the point of intersection of the two lines
The point of intersection of the two lines is the point where the perpendicular line passes through the given line. To find this point, we need to solve the system of equations:
y=(4/3)x-6
y=(-3/4)x+(23/4)
Solving the system of equations, we get x=6 and y=-2.
Therefore, the point of intersection of the two lines is (6,-2).
Step 6: Find the distance between the point and the line
The distance between the point (2,5) and the line 4x-3y=18 is the distance between the point and the point of intersection of the two lines. We can use the distance formula to find this distance
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is?
Question Description
The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is?.
The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is?.
Solutions for The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is? defined & explained in the simplest way possible. Besides giving the explanation of
The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is?, a detailed solution for The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is? has been provided alongside types of The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is? theory, EduRev gives you an
ample number of questions to practice The length of the perpendicular from the point (2,5) on the line 4x-3y 18 0 is? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup