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

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

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New post 15 Mar 2018, 02:26
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (01:29) correct 35% (01:35) wrong based on 75 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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What is the minimum distance between the point (3,4) and points o  [#permalink]

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New post 15 Mar 2018, 02:31
The radius the circle is 1, the distance between (3,4) and (0,0) is 5, 5-1 = 4
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What is the minimum distance between the point (3,4) and points o  [#permalink]

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

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New post 05 Aug 2018, 04:56
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, 04:56
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