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# In the xy-coordinate plane, is the point (a,b) further from the point

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Math Expert
Joined: 02 Sep 2009
Posts: 60647
In the xy-coordinate plane, is the point (a,b) further from the point  [#permalink]

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02 Dec 2019, 01:25
00:00

Difficulty:

55% (hard)

Question Stats:

22% (02:04) correct 78% (01:58) wrong based on 25 sessions

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In the xy-coordinate plane, is the point (a,b) further from the point (2,3) than it is from the point (3,2)?

(1) a = 2.6

(2) b > a

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Joined: 19 Oct 2018
Posts: 1295
Location: India
Re: In the xy-coordinate plane, is the point (a,b) further from the point  [#permalink]

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02 Dec 2019, 12:51
1
Distance of (a,b) from (2,3)- $$\sqrt{(a-2)^2+(b-3)^2}$$

Distance of (a,b) from (3,2)- $$\sqrt{(a-3)^2+(b-2)^2}$$

$$\sqrt{(a-2)^2+(b-3)^2}$$ > $$\sqrt{(a-3)^2+(b-2)^2}$$

$$(a-2)^2+(b-3)^2$$ > $$(a-3)^2+(b-2)^2$$

2a>2b
a>b

Our question stem is whether a is greater than b

Statement 1- We have no idea about b

Insufficient

Statement 2- b>a

Sufficient

Bunuel wrote:
In the xy-coordinate plane, is the point (a,b) further from the point (2,3) than it is from the point (3,2)?

(1) a = 2.6

(2) b > a
Re: In the xy-coordinate plane, is the point (a,b) further from the point   [#permalink] 02 Dec 2019, 12:51
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