All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
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?
Clear all your CAT doubts with EduRev
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.
Explore Courses for CAT exam

Similar CAT Doubts

Legrand Casino recently purchased a slot machine; a gaming machine, which had the main unit and five sub-units, labeled as Alpha, Gamma, Beta, Theta and Omega. The main, as well as each of the sub-units, had five slots, labeled as Red, Blue, Grey, Black, and Yellow. The game with this slotting machine involved punching the right coin in the right slot in the right sequence i.e. one after another. For example, if coin number 3 is punched into slot Blue in Gamma sub-unit and if the main unit also pushes the coin to Blue slot, then the punch is said to be a winning shot. If the coin in the sub-unit is punched into the right slot when compared to the corresponding coin in the main unit, then the player gets Rs. 1,000 as reward. On the other hand, if the slots do not match then the player loses Rs. 333. Each player gets 25 coins to play.However, after a couple of days, this slotting machine developed a peculiar problem. In the sub-units irrespective of the slot you intended to put in the coin, the sub-unit pushed the coin into the slot it wanted to every time on its own.To find out which slots in the sub-units had developed the snag, the technician played on all the sub-units using 25 coins in each of the sub-units.After some kind of analysis he found that the main machine and each of the sub-units could identify right slots for 15 coins, however for the balance of 10 coins listed below, each of the sub-units assumed different positions as right slots when compared to the main unit whose allocation of slots was the benchmark for performance of other sub-units.On playing with these sub-units, the technician earned Rs. 17,000, Rs. 11,660, Rs. 18,330, Rs. 14,330 and Rs. 18,330 respectively from each of Alpha, Gamma, Beta, Theta and Omega. All the amount being rounded off to previous tens figure. Of the ten slots which had developed the snag, there was at least one sub-unit which identified the right slot for exactly 9 of the 10 slots.The table below gives the slots identified by each of the sub-units as right slots for the 10 problematic coins.For the 10 incorrectly slotted coins, how many slots were commonly and correctly identified by more than 1 sub-unit?

Legrand Casino recently purchased a slot machine; a gaming machine, which had a main unit and five sub-units, labeled as Alpha, Gamma, Beta, Theta and Omega. The main as well as each of the sub-units had five slots, labeled as Red, Blue, Grey, Black and Yellow. The game with this slotting machine involved punching the right coin in the right slot in the right sequence i.e. one after another. For example, if coin number 3 is punched into slot Blue in Gamma sub-unit and if the main unit also pushes the coin to Blue slot, then the punch is said to be a winning shot. If the coin in the sub-unit is punched into the right slot when compared to the corresponding coin in the main unit, then the player gets Rs. 1,000 as reward. On the other hand, if the slots do not match then the player loses Rs. 333. Each player gets 25 coins to play.However, after a couple of days this slotting machine developed a peculiar problem. In the sub-units irrespective of the slot you intended to put in the coin, the sub-unit pushed the coin into the slot it wanted to every time on its own.To find out which slots in the sub-units had developed the snag, the technician played on all the sub-units using 25 coins in each of the sub-units.After some kind of analysis he found that the main machine and each of the sub-units could identify right slots for 15 coins, however for the balance of 10 coins listed below, each of the sub-units assumed different positions as right slots when compared to the main unit whose allocation of slots was the benchmark for performance of other sub-units.On playing with these sub-units, the technician earned Rs. 17,000, Rs. 11,660, Rs. 18,330, Rs. 14,330 and Rs. 18,330 respectively from each of Alpha, Gamma, Beta, Theta and Omega. All the amount being rounded off to previous tens figure. Of the ten slots which had developed the snag, there was atleast one sub-unit which identified the right slot for exactly 9 of the 10 slots.The table below gives the slots identified by each of the sub-units as right slots for the 10 problematic coins.Q. Which of these can never be a valid combination of correctly slotted coin numbers for the Alpha sub-unit?

Top Courses for CATView all

Top Courses for CAT

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?
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?.
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

Top Courses for CAT

Explore Courses
SaveJoin the Discussion on the App for FREE
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© 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