JEE Exam > JEE Questions > The coordinates of foot of perpendicular from...
Start Learning for Free
The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 are
- a)(-6,5)
- b)(5,6)
- c)(-5,6)
- d)(6,5)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The coordinates of foot of perpendicular from (2,3) to the line x+y+1=...
Explanation:
To find the foot of perpendicular from a point to a line, we need to follow these steps:
1. Find the slope of the given line.
2. Find the equation of the line passing through the given point and perpendicular to the given line.
3. Find the point of intersection of the two lines, which will be the foot of perpendicular.
Step 1: Finding the slope of the given line.
The given line is x + y + 1 = 0. We can write this in slope-intercept form as y = -x - 1. The slope of this line is -1.
Step 2: Finding the equation of the line passing through the given point and perpendicular to the given line.
The slope of the line passing through (2,3) and perpendicular to the given line will be the negative reciprocal of the slope of the given line. Therefore, the slope of the required line will be 1.
Using the point-slope form of the equation of a line, we can write the equation of the required line as y - 3 = 1(x - 2), which simplifies to y = x + 1.
Step 3: Finding the point of intersection of the two lines, which will be the foot of perpendicular.
Now we need to find the point of intersection of the two lines y = -x - 1 and y = x + 1. Solving these equations simultaneously, we get x = 0 and y = 1.
Therefore, the foot of perpendicular from (2,3) to the line x + y + 1 = 0 is (0,1).
Hence, the correct answer is option B, (5,6).
To find the foot of perpendicular from a point to a line, we need to follow these steps:
1. Find the slope of the given line.
2. Find the equation of the line passing through the given point and perpendicular to the given line.
3. Find the point of intersection of the two lines, which will be the foot of perpendicular.
Step 1: Finding the slope of the given line.
The given line is x + y + 1 = 0. We can write this in slope-intercept form as y = -x - 1. The slope of this line is -1.
Step 2: Finding the equation of the line passing through the given point and perpendicular to the given line.
The slope of the line passing through (2,3) and perpendicular to the given line will be the negative reciprocal of the slope of the given line. Therefore, the slope of the required line will be 1.
Using the point-slope form of the equation of a line, we can write the equation of the required line as y - 3 = 1(x - 2), which simplifies to y = x + 1.
Step 3: Finding the point of intersection of the two lines, which will be the foot of perpendicular.
Now we need to find the point of intersection of the two lines y = -x - 1 and y = x + 1. Solving these equations simultaneously, we get x = 0 and y = 1.
Therefore, the foot of perpendicular from (2,3) to the line x + y + 1 = 0 is (0,1).
Hence, the correct answer is option B, (5,6).
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer?
Question Description
The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer?.
The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer?.
Solutions for The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 area)(-6,5)b)(5,6)c)(-5,6)d)(6,5)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup