What is the minimum distance between the point (3,4) and points o : Problem Solving (PS)

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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

00:00

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 $x^2+y^2=1$?

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

Spoiler: OA

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Intern

Joined: 05 Mar 2018

Posts: 6

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

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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]

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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

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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

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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