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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote Is a < 2? tagged by: M7MBA This topic has 2 expert replies and 1 member reply Is a < 2? Timer 00:00 Your Answer A B C D E Global Stats Difficult Is a < 2? (1) In an xy plane, point (a,1) lies inside the circle whose equation is x^2 + y^2 = 3 (2) In an xy plane, point (a,4) lies on the line whose equation is 2y + 4x = 10 The OA is the option D. Could anyone give me some help here? How can I determine if "a" is less than 2 or not? I'd appreciate any help. GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15196 messages Followed by: 1861 members Upvotes: 13060 GMAT Score: 790 Top Reply M7MBA wrote: Is a < 2? (1) In an xy plane, point (a,1) lies inside the circle whose equation is x^2 + y^2 = 3 (2) In an xy plane, point (a,4) lies on the line whose equation is 2y + 4x = 10 The answer to the question stem can be NO -- implying that a≥2 -- only if a is positive. Thus, when we evaluate the statements, we need consider only POSITIVE values for a. Statement 1: In the xy-plane, the point (a, 1) lies inside the circle whose equation is x^2 + y^2 = 3. Every point (x, y) such that x² + y² = 3 lies ON the circle. Every point (x, y) such that x² + y² > 3 lies OUTSIDE the circle. Every point (x, y) such that x² + y² < 3 lies INSIDE the circle. Since (a, 1) must lie INSIDE the circle, (a, 1) must satisfy x² + y² < 3: a² + 1² < 3 a² < 2 a < √2. Thus, a < 2. SUFFICIENT. Statement 2: In the xy-plane, the point (a, 4) lies on the line whose equation is 2y+4x = 10. Substituting x=a and y=4 into 2y+4x = 10, we get: 2(4) + 4a = 10 4a = 2 a = 2/4 = 1/2. Thus, a < 2. SUFFICIENT. The correct answer is D. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. Newbie | Next Rank: 10 Posts Joined 01 May 2018 Posted: 5 messages Is equation of a circle in syllabus for the GMAT? GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10109 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi nidhips, Co-ordinate Geometry/Graphing is a relatively rare subject on the GMAT; you'll likely see it just once on Test Day. In that same way, the task of graphing circles is a rare task within a rare category, so you probably won't need any special knowledge on that subject when you take the Official GMAT. The Official Guide doesn't appear to even include the subject in the "Geometry" portion of the book. That all having been said, you CAN physically graph any of the equations that you're given in these types of situations (including circles) - and choosing to work 'visually' (on your pad) can make most Geometry questions easier to deal with. GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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