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If the solution curve y = y(x) of the differential equation y 2 dx + (x 2 – xy + y 2 )dy = 0, which passes through the point (1,1) and intersects the line y = 3 x at the point ( ) α α 3 , , then value of log e ( ) α 3 is equal to :

1. 3 π
2. 2 π
3. 12 π
4. 6 π

Correct answer: 12 π

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