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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: 6821
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, 01:26
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Difficulty:

35% (medium)

Question Stats:

67% (01:31) correct 33% (01:35) wrong based on 78 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 $149 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: 6 What is the minimum distance between the point (3,4) and points o [#permalink] Show Tags 15 Mar 2018, 01:31 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: 6821 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, 22:19 => 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 637 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$149 for 3 month Online Course"
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Manager
Joined: 25 May 2016
Posts: 84
Location: Singapore
Concentration: Finance, General Management
GMAT 1: 620 Q46 V30
Re: What is the minimum distance between the point (3,4) and points o  [#permalink]

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05 Aug 2018, 03:56
2
circle x^2 + y^2 = 1 has radius 1.

from the origin(center of circle) to point (3,4), it forms a right angle triangle. Then we find hypotenuse side (min. dist. to the point). which is 5.

5 - 1 = 4.
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Re: What is the minimum distance between the point (3,4) and points o &nbs [#permalink] 05 Aug 2018, 03:56
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