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# M13 #q 12

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Intern
Joined: 13 Oct 2008
Posts: 16
M13 #q 12 [#permalink]

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27 Nov 2008, 08:01
What is the least possible distance between a point on the circle and a point on the line ?

1.4
sqrt (2)
1.7
sqrt (3)
2

given expln:
===========
Consider a triangle with vertices (0,0), (4,0), and (0, -3). This is a right triangle with hypotenuse 5. Its area is . The distance from line to the origin is the height of this triangle. This height is 12/5 = 2.4; it can be found from equation . The distance from line to the circle is the distance from this line to the origin minus the radius of the circle. That is, 2.4 - 1 = 1.4.

I totally do not understand this. Can anybody explain clearly.
SVP
Joined: 29 Aug 2007
Posts: 2427
Re: M13 #q 12 [#permalink]

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27 Nov 2008, 09:02
mbaobsessed wrote:
What is the least possible distance between a point on the circle and a point on the line ?

1.4
sqrt (2)
1.7
sqrt (3)
2

given expln:
===========
Consider a triangle with vertices (0,0), (4,0), and (0, -3). This is a right triangle with hypotenuse 5. Its area is . The distance from line to the origin is the height of this triangle. This height is 12/5 = 2.4; it can be found from equation . The distance from line to the circle is the distance from this line to the origin minus the radius of the circle. That is, 2.4 - 1 = 1.4.

I totally do not understand this. Can anybody explain clearly.

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Re: M13 #q 12   [#permalink] 27 Nov 2008, 09:02
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# M13 #q 12

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