CAT Exam > CAT Questions > Find the area enclosed by |x| + |y| = 4.a)16 ...
Start Learning for Free
Find the area enclosed by |x| + |y| = 4.
- a)16 sq. units
- b)32 sq. units
- c)16√2 sq. units
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)...
To find the area enclosed by the equation |x| + |y| = 4, we can split it into four separate cases:
1) When both x and y are positive:
In this case, the equation becomes x + y = 4.
The area enclosed by this equation is a right triangle with base 4 units and height 4 units.
The area of a triangle is given by A = (1/2) * base * height.
Therefore, the area of this triangle is (1/2) * 4 * 4 = 8 square units.
2) When both x and y are negative:
In this case, the equation becomes -x - y = 4.
This is the same equation as in case 1, just with negative values.
Therefore, the area of this triangle is also 8 square units.
3) When x is positive and y is negative:
In this case, the equation becomes x - y = 4.
The area enclosed by this equation is a right triangle with base 4 units and height 4 units.
Again, the area of this triangle is 8 square units.
4) When x is negative and y is positive:
In this case, the equation becomes -x + y = 4.
This is the same equation as in case 3, just with negative values.
Therefore, the area of this triangle is also 8 square units.
To find the total area enclosed by the equation |x| + |y| = 4, we add up the areas from all four cases: 8 + 8 + 8 + 8 = 32 square units.
Therefore, the correct answer is b) 32 sq. units.
1) When both x and y are positive:
In this case, the equation becomes x + y = 4.
The area enclosed by this equation is a right triangle with base 4 units and height 4 units.
The area of a triangle is given by A = (1/2) * base * height.
Therefore, the area of this triangle is (1/2) * 4 * 4 = 8 square units.
2) When both x and y are negative:
In this case, the equation becomes -x - y = 4.
This is the same equation as in case 1, just with negative values.
Therefore, the area of this triangle is also 8 square units.
3) When x is positive and y is negative:
In this case, the equation becomes x - y = 4.
The area enclosed by this equation is a right triangle with base 4 units and height 4 units.
Again, the area of this triangle is 8 square units.
4) When x is negative and y is positive:
In this case, the equation becomes -x + y = 4.
This is the same equation as in case 3, just with negative values.
Therefore, the area of this triangle is also 8 square units.
To find the total area enclosed by the equation |x| + |y| = 4, we add up the areas from all four cases: 8 + 8 + 8 + 8 = 32 square units.
Therefore, the correct answer is b) 32 sq. units.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
Question Description
Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the area enclosed by |x| + |y| = 4.a)16 sq. unitsb)32 sq. unitsc)16√2 sq. unitsd)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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