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Xin Cho
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Xin Cho
Kinshook can I possibly ask you how we know from (1) that LN is the diameter?

Only a diameter divides a circle into 2 equal halves. If an arc is half the circumference then circle is divided in to 2 equal parts by a diameter.

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The question here can be simplified to whether LN is the diameter or not. If LN is the diameter then any point M on the circle will make triangle LNM a right triangle (this is called Thale's theorem, feel free to wiki!)

(1) The arc covers exactly half the circle, then LN must be the diameter. Sufficient.
(2) Sufficient.

Answer: D
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Kinshook, thank you very much. I realized that I mistook the LMN for LNM - it all makes sense now.
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