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# In the rectangular coordinate system, (x,y) is a point on a

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In the rectangular coordinate system, (x,y) is a point on a [#permalink]  20 Dec 2017, 15:35
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19% (00:33) correct 80% (00:53) wrong based on 26 sessions
In the rectangular coordinate system, (x,y) is a point on a circle that has center (3,2) and is tangent to the x-axis at (3,0).

 Quantity A Quantity B The least possible value of x zero

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

kudo for the right solution and explanation
[Reveal] Spoiler: OA

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Last edited by Carcass on 13 Sep 2018, 09:24, edited 1 time in total.
Edited the OA
Manager
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Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink]  20 Dec 2017, 18:09
For this one, since the radius is 3 it supposed to touch the x intercept 0?
Founder
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Kudos [?]: 1326 [0], given: 6284

Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink]  21 Dec 2017, 16:33
Expert's post

Regards
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Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink]  22 Dec 2017, 23:27
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Carcass wrote:
In the rectangular coordinate system, (x,y) is a point on a circle that has center (3,2) and is tangent to the x-axis at (3,0).

 Quantity A Quantity B The least possible value of x zero

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

kudo for the right solution and explanation

Here the distance between the centre of the circle (3,2) to the point (3,0),tangent to x asis is = $$\sqrt{(3-3)^2 + (0-2)^2}$$ = 2, which is the radius of the circle.

Now (x,y) is any point in this circle with radius 2, so the minimum value of x > 0

Hence option A
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Intern
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Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink]  28 Feb 2019, 08:06
the least possible value of x is 1 as the radius is 2. So while touching (1,2 ) point , x will be the least possible value
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Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink]  28 Feb 2019, 09:45
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Carcass wrote:
In the rectangular coordinate system, (x,y) is a point on a circle that has center (3,2) and is tangent to the x-axis at (3,0).

 Quantity A Quantity B The least possible value of x zero

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

kudo for the right solution and explanation

Now the distance between points (3,2) and (3,0) will be the radius, so radius = 2, which is the change in y axis when x remains 3.

We are looking for the least possible value of x will be the distance between center and radius 2. Thus 3-2=1
But B is 0.

Hence A is greater.

A
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Re: In the rectangular coordinate system, (x,y) is a point on a   [#permalink] 28 Feb 2019, 09:45
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