On the x y plane, P is a point on a circle whose center is : DS Archive
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# On the x y plane, P is a point on a circle whose center is

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CEO
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On the x y plane, P is a point on a circle whose center is [#permalink]

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17 Sep 2003, 07:32
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On the x y plane, P is a point on a circle whose center is the
origin point, What's the sum of the squares of its coordinates?

A. The radius of the circle is 10
B. The sum of the coordinates is 0
CEO
Joined: 15 Aug 2003
Posts: 3460
Followers: 67

Kudos [?]: 864 [0], given: 781

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17 Sep 2003, 21:27
edealfan wrote:
praetorian123 wrote:
On the x y plane, P is a point on a circle whose center is the
origin point, What's the sum of the squares of its coordinates?

A. The radius of the circle is 10
B. The sum of the coordinates is 0

A?

correct!

A.
if radius is 10, it represents the hypotenuse of a traingle whose base is the x-coordinate and height is the y coordinate

and we know for a right angled triangle,

x^2 + y^2 = 10^2 =100..so 1 is sufficient

B..

x+y =0

we can conclude anything from this statement..insufficient

Thanks
Praetorian
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23 May 2004, 08:21
Praetorian wrote:
On the x y plane, P is a point on a circle whose center is the
origin point, What's the sum of the squares of its coordinates?

A. The radius of the circle is 10
B. The sum of the coordinates is 0

unclear question. should have mentioned that circle encompasses the entire cordinate.
Manager
Joined: 25 Apr 2003
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23 May 2004, 08:43
No Mirhaque, question is correctly worded and going by accounts of recent test takers is of the type which is being increasingly seen.

Questions which use the initial concepts of the branch of mathemetics known as coordinate geometry are coming in - circles/parabolas/other curves. These can be solved by basic geometry just as Praet has done. I will try to make some questions of this type and release for practice.
23 May 2004, 08:43
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