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In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th

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MathRevolution
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In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink] New post   Updated on: 09 Jul 2016, 10:14
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A
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E

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In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form the diameter of the circle?
1) A and B are on the circle.
2) The radius is√3

* A solution will be posted in two days.

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B

Originally posted by MathRevolution on 09 May 2016, 20:51.
Last edited by Kurtosis on 09 Jul 2016, 10:14, edited 1 time in total.
Changed the OA
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Re: In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink] New post   11 May 2016, 20:06
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The variables of circles in x-y coordinates are 3 (center and radii). In order to match the number of numbers to the number of equations, we need 3 equations. Since the condition 1) and the condition 2) each has 1 equation, there is high chance that E is the correct answer. Using both the condition 1) and the condition 2), since AB=2√3=diameter, the answer is always yes, and the condition is sufficient. Therefore, the correct answer is C.

- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
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Re: In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink] New post   31 May 2016, 22:26
MathRev,

I'm not sure I follow your solution, please correct my reasoning:

If you assume an isosceles triangle, with height=length=3 then by x-x-x(radical(2)) convention then AB = 3(radical(2)). If AB was the diameter then radius = 3(radical(2)) / 2 which does not equal radical(3)

(1) obviously NS
(2) sufficient because of explanation above
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Re: In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink] New post   01 Jun 2016, 09:22
I agree with the post above. I don't see how it can't be B.
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Re: In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink] New post   06 Jun 2016, 22:45
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Even though the raidus is (root)3, we cannot know if AB is a diameter.
Please remember the common mistake type 3. When looking at the condition 2), ignore the condition 1).
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Re: In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink] New post   06 Jun 2016, 22:58
MathRevolution wrote:
Even though the raidus is (root)3, we cannot know if AB is a diameter.
Please remember the common mistake type 3. When looking at the condition 2), ignore the condition 1).


Ok, I'll take your argument but then I think the wording needs to be changed on the prompt - otherwise A/B give zero information. Meaning, are A/B on the circle, inside the circle, outside the circle, do they even matter, etc.?
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Re: In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink] New post   07 Jun 2016, 00:17
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MathRevolution wrote:
In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form the diameter of the circle?
1) A and B are on the circle.
2) The radius is√3

* A solution will be posted in two days.


Statement 1

Clearly not sufficient.

Line AB could be a chord or it can be a diameter.

We have no information that AB passes through the centre.

Statement 2

With the details given we calculate length of AB as \sqrt{18}.

Radius is given as √3. This means Diameter of this cis 2√3 = √12

We can say that AB does not form diameter of this given circle.

Sufficient.

B is the answer.
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Re: In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink] New post   09 Jul 2016, 10:02
MathRevolution wrote:
In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form the diameter of the circle?
1) A and B are on the circle.
2) The radius is√3

* A solution will be posted in two days.


Can someone confirm whether 'B' or 'C' correct answer!
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Re: In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink] New post   09 Oct 2016, 05:47
sairam595 wrote:
MathRevolution wrote:
In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form the diameter of the circle?
1) A and B are on the circle.
2) The radius is√3

* A solution will be posted in two days.


Can someone confirm whether 'B' or 'C' correct answer!

B is indeed correct answer

reasons already in above post for clarification by adiagr
for simplicity consider below fig.

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Re: In x-y coordinates, A(0,3) and B (3,0) are given. Does A and B form th [#permalink]
09 Oct 2016, 05:47
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