# CAT 2017 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Coordinate Geometry Questions | Question 30

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. If you would like to take the same inside a testing engine (for Free) head out here: CAT Official Question Mocks. In CAT 2017 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

Question 30 : The shortest distance of the point ($$frac{1}{2}$,1) from the curve y = |x - 1| + |x + 1| is 1. 1 2. 0 3. √2 4. √$\frac{3}{2}$ ## ⏰ Fabulous 5,000 off on CAT 2021 Online courses Valid until 25th Oct #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer ##### Method of solving this CAT Question from Coordinate Geometry We have to find the shortest distance of the point$$$frac{1}{2}$ , 1) from the curve y = |x - 1| + |x + 1|. let x = $\frac{1}{2}$ , y = |$\frac{1}{2}$ - 1| + |$\frac{1}{2}$ + 1| y = 2 i.e.$$$frac{1}{2}$ , 2) y will be entirely positive ; y = |x - 1| + |x + 1| When x = 1 then$1 , 2) is the point and when x = -1, then (-1 , 2) will be the point.

When x > 1 then x – 1 + x + 1 it becomes 2x
When x < 1 then 1 – x - 1 – x it becomes -2x
From the graph obtained we can see that the shortest distance of the point ($$frac{1}{2}$ , 1) from the curve will be the perpendicular distance and is equal to 1. The question is "The shortest distance of the point$$$frac{1}{2}$,1) from the curve y = |x - 1| + |x + 1| is" ##### Hence, the answer is 1 Choice A is the correct answer ###### ⏰ Fabulous 5,000 off on CAT 2021 Online courses. Valid until 25th Oct. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in ChennaiPrices slashed by Rs 4000/- Attend a Demo Class ##### 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
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com