JEE Main 2022 Mathematics question

If the solution curve of the differential equation dy/dx = (x + y − 2)/(x − y) passes through the point (2, 1) and (k + 1, 2), k > 0, then

Answer: (1)

Solution

dy/dx = ((x − 1) + (y − 1))/((x − 1) − (y − 1)). With X = x − 1 and Y = y − 1 and Y = VX: X dV/dX = , so − V)dV/(1 + , i.e. $V -

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Question ID VK-035054