# CAT 2020 Question Paper | Quants Slot 3

###### CAT Previous Year Paper | CAT Quants Questions | Question 5

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Question 5 : The area, in sq. units, enclosed by the lines x = 2, y = |x - 2| + 4, the X-axis and the Y-axis is equal to

1. 12
2. 8
3. 6
4. 10

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### Explanatory Answer

y = |x| is a symmetric function, symmetric on the y axis...
y = |x - 2| + 4 is nothing but a translated graph of y = |x| from (0 , 0) to (2 , 4)
Refer to the image below...

We are asked to find the area, in sq. units, enclosed by the lines x = 2, y = |x - 2| + 4, the X-axis and the Y-axis.
The corresponding image to these graphs look like...

Now the enclosed area is the sum of areas of the rectangle and the triangle.
Enclosed Area = 2 × 4 + $$frac{1}{2}$ × 2 × 2 = 8 + 2 = 10 The question is "The area, in sq. units, enclosed by the lines x = 2, y = |x - 2| + 4, the X-axis and the Y-axis is equal to" ##### Hence, the answer is, "10" ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### 🎉 Fabulous 3,000 off on 2IIM's Test Dojo. Valid until 18th April ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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