MathematicsMedium38×since 2002Q3626If the solution curve y=y(x)y = y(x)y=y(x) of the differential equation y2dx+(x2−xy+y2)dy=0{y^2}dx + ({x^2} - xy + {y^2})dy = 0y2dx+(x2−xy+y2)dy=0, which passes through the point (1, 1) and intersects the line y=3xy = \sqrt 3 xy=3x at the point (α,3α)(\alpha ,\sqrt 3 \alpha )(α,3α), then value of loge(3α){\log _e}(\sqrt 3 \alpha )loge(3α) is equal to :Aπ3{\pi \over 3}3πBπ2{\pi \over 2}2πCπ12{\pi \over 12}12πDπ6{\pi \over 6}6πCheck answerSkip