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In the xy-coordinate plane there are 4 points A(2,0), B(4,0), C(4,2),

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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In the xy-coordinate plane there are 4 points A(2,0), B(4,0), C(4,2),  [#permalink]

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14 Aug 2017, 01:29
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Difficulty:

75% (hard)

Question Stats:

53% (02:29) correct 47% (02:32) wrong based on 78 sessions

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In the xy-coordinate plane there are 4 points A(2,0), B(4,0), C(4,2), and D(2,2). If the line which passes through an origin bisects the area of the rectangle ABCD, what is the slope of the line?

A. $$\frac{1}{2}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{4}$$
D. $$\frac{1}{5}$$
E. $$\frac{1}{6}$$

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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" CEO Status: GMATINSIGHT Tutor Joined: 08 Jul 2010 Posts: 2978 Location: India GMAT: INSIGHT Schools: Darden '21 WE: Education (Education) Re: In the xy-coordinate plane there are 4 points A(2,0), B(4,0), C(4,2), [#permalink] Show Tags 14 Aug 2017, 02:26 MathRevolution wrote: In the xy-coordinate plane there are 4 points A(2,0), B(4,0), C(4,2), and D(2,2). If the line which passes through an origin bisects the area of the rectangle ABCD, what is the slope of the line? A. $$\frac{1}{2}$$ B. $$\frac{1}{3}$$ C. $$\frac{1}{4}$$ D. $$\frac{1}{5}$$ E. $$\frac{1}{6}$$ A line can divide the area of rectangle into two equal parts only if it passes through the centre of quadrilateral as shown in figure... Hence one of the points that the line will pass through will be midpoint of the diagonal [(2+4)/2 , (0+2)/2] = (3,1) Another point that line is passing through is oriin i.e. (0,0) hence slope = (1-0) / (3-0) = 1/3 Answer: Option B Attachments File comment: www.GMATinsight.com 12121.jpg [ 25.24 KiB | Viewed 994 times ] _________________ Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8017 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: In the xy-coordinate plane there are 4 points A(2,0), B(4,0), C(4,2), [#permalink] Show Tags 16 Aug 2017, 02:42 Attachment: 8.16.png [ 9.06 KiB | Viewed 914 times ] The line should pass through the center (3,1) of the square ABCE. Thus its slope is 1/3. Ans: B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: In the xy-coordinate plane there are 4 points A(2,0), B(4,0), C(4,2),  [#permalink]

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15 Oct 2018, 07:00
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Re: In the xy-coordinate plane there are 4 points A(2,0), B(4,0), C(4,2),   [#permalink] 15 Oct 2018, 07:00
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