JEE Exam > JEE Questions > The area of the region bounded by the curves ...
Start Learning for Free
The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis is
- a)3
- b)2
- c)1
- d)4
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 a...
Area of the Region Bounded by the Curves
Given Curves:
- y = |x-2|
- x = 1
- x = 3
Step 1: Finding the Intersection Points
- To find the area of the region bounded by the curves, we first need to determine the intersection points of the curves.
- Setting y = 0 in y = |x-2| gives us x = 2 as the point of intersection.
Step 2: Determining the Region
- The region bounded by the curves is the area between the curve y = |x-2| and the x-axis from x = 1 to x = 3.
Step 3: Calculating the Area
- As the curve y = |x-2| is symmetric about x = 2, we can split the region into two parts: from x = 1 to x = 2 and from x = 2 to x = 3.
- Calculating the area under the curve from x = 1 to x = 2 gives us an area of 1.
- Similarly, calculating the area under the curve from x = 2 to x = 3 also gives us an area of 1.
- Therefore, the total area of the region bounded by the curves is 1 + 1 = 2.
Therefore, the correct answer is option C) 1.
Given Curves:
- y = |x-2|
- x = 1
- x = 3
Step 1: Finding the Intersection Points
- To find the area of the region bounded by the curves, we first need to determine the intersection points of the curves.
- Setting y = 0 in y = |x-2| gives us x = 2 as the point of intersection.
Step 2: Determining the Region
- The region bounded by the curves is the area between the curve y = |x-2| and the x-axis from x = 1 to x = 3.
Step 3: Calculating the Area
- As the curve y = |x-2| is symmetric about x = 2, we can split the region into two parts: from x = 1 to x = 2 and from x = 2 to x = 3.
- Calculating the area under the curve from x = 1 to x = 2 gives us an area of 1.
- Similarly, calculating the area under the curve from x = 2 to x = 3 also gives us an area of 1.
- Therefore, the total area of the region bounded by the curves is 1 + 1 = 2.
Therefore, the correct answer is option C) 1.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer?
Question Description
The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer?.
The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer?.
Solutions for The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. 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 area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The area of the region bounded by the curves y = |x-2|, x = 1, x = 3 and the x-axis isa)3b)2c)1d)4Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup