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# Co-ordinate Geometry Ques

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Manager
Joined: 14 May 2007
Posts: 182
Location: India

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07 Jun 2009, 23:45
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100% (01:51) correct 0% (00:00) wrong based on 1 sessions

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Hi Guys,

I came across the following coordinate geometry question. How should I go about solving it ?

Q-1) A circle whose center is at (6,8) passes through the origin. Which of the following point is NOT on the circle?

(a) (12,0)
(b) (6,-2)
(c) (16,8)
(d) (-2,12)
(e) (-4,8)

OA:D

I was able calc the radius but after that I got stuck.

Can anyone explain me logic/way to solve it ?

Thanks,
GR
Founder
Joined: 04 Dec 2002
Posts: 15148
Location: United States (WA)
GMAT 1: 750 Q49 V42

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07 Jun 2009, 23:51
Moved to the PS Forum - please continue discussion here.
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Intern
Joined: 27 May 2009
Posts: 42

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08 Jun 2009, 00:51
greatchap wrote:
Hi Guys,

I came across the following coordinate geometry question. How should I go about solving it ?

Q-1) A circle whose center is at (6,8) passes through the origin. Which of the following point is NOT on the circle?

(a) (12,0)
(b) (6,-2)
(c) (16,8)
(d) (-2,12)
(e) (-4,8)

OA: D

I was able calc the radius but after that I got stuck.

Can anyone explain me logic/way to solve it ?

Thanks,
GR

Since the radius can be found which is 10 units...
Try to findout the distance between the points in the choice and the center.The distance has to be equal to the radius calculated earlier.
So the answer is (d) (-2,12).
Manager
Joined: 14 May 2007
Posts: 182
Location: India

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08 Jun 2009, 02:12
Thanks a lot dude, I got it now. Earlier I did the same thing but made a calc mistake. Cheers.
Manager
Joined: 14 May 2009
Posts: 192

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08 Jun 2009, 03:18
Quick way:

You have the center & a point-- you can calculate the radius -- 10.

Then go through each point and find the distance of the point from the center, if it's ==10 it's on the circle, otherwise it's not.

In this case it's D.
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Manager
Joined: 30 Nov 2008
Posts: 91

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08 Jun 2009, 16:48
To me it was just easier drawing this out, just my opinion......
Re: Co-ordinate Geometry Ques   [#permalink] 08 Jun 2009, 16:48
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