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# What is the minimum distance between the point (3,4) and points o

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5839
GMAT 1: 760 Q51 V42
GPA: 3.82
What is the minimum distance between the point (3,4) and points o [#permalink]

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15 Mar 2018, 02:26
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Difficulty:

25% (medium)

Question Stats:

70% (01:09) correct 30% (00:42) wrong based on 47 sessions

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[GMAT math practice question]

What is the minimum distance between the point $$(3,4)$$and points on the circle $$x^2+y^2=1$$?

$$A. 1$$
$$B. 2$$
$$C. 3$$
$$D. 4$$
$$E. 5$$

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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Intern Joined: 05 Mar 2018 Posts: 7 What is the minimum distance between the point (3,4) and points o [#permalink] ### Show Tags 15 Mar 2018, 02:31 The radius the circle is 1, the distance between (3,4) and (0,0) is 5, 5-1 = 4 Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 5839 GMAT 1: 760 Q51 V42 GPA: 3.82 What is the minimum distance between the point (3,4) and points o [#permalink] ### Show Tags 18 Mar 2018, 23:19 => Since the distance between $$(0,0)$$ the center of the circle $$x^2+y^2=1$$ and $$(3,4)$$ is $$5$$, and the radius of the circle is $$1$$, the minimum distance between a point on the circle and $$(3,4)$$ is $$5 – 1 = 4.$$ Therefore, D is the answer. Answer: D Attachments circle.png [ 10.42 KiB | Viewed 243 times ] _________________ 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$99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
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What is the minimum distance between the point (3,4) and points o   [#permalink] 18 Mar 2018, 23:19
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