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MathRevolution
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I agree with the post above. I don't see how it can't be B.
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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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MathRevolution
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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MathRevolution
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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MathRevolution
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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sairam595
MathRevolution
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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