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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 ## In the standard coordinate system, which of the following... tagged by: swerve ##### This topic has 1 expert reply and 0 member replies ### Top Member ## In the standard coordinate system, which of the following... In the standard coordinate system, which of the following points is the greatest distance from the origin: (A) (-4, -1) (B) (-3, 3) (C) (4, 0) (D) (2, 3) (E) (0, 4) The OA is B. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: In the standard coordinate system, which of the following points is the greatest distance from the origin: (A) (-4, -1) (B) (-3, 3) (C) (4, 0) (D) (2, 3) (E) (0, 4) The OA is B. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. Hi Swerve, Let's take a look at your question. We are given some points and we need to find out which of the points is the greatest distance from the origin. The distance can be calculated using the distance formula as stated below: $$\left(Distance\right)^2=\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2$$ Let's find the distance of each point from the origin. OPTION A: (-4, -1) $$\left(Distance\right)^2=\left(-4-0\right)^2+\left(-1-0\right)^2$$ $$\left(Distance\right)^2=16+1=17$$ OPTION B: (-3, 3) $$\left(Distance\right)^2=\left(-3-0\right)^2+\left(3-0\right)^2$$ $$\left(Distance\right)^2=9+9=18$$ OPTION C: (4, 0) $$\left(Distance\right)^2=\left(4-0\right)^2+\left(0-0\right)^2$$ $$\left(Distance\right)^2=16+0=16$$ OPTION D: (2, 3) $$\left(Distance\right)^2=\left(2-0\right)^2+\left(3-0\right)^2$$ $$\left(Distance\right)^2=4+9=13$$ OPTION E: (0, 4) $$\left(Distance\right)^2=\left(0-0\right)^2+\left(4-0\right)^2$$ $$\left(Distance\right)^2=0+16=16$$ Now, we can see that the square of the distance from the origin is greatest Option B. Therefore, Option B is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep 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 • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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