JEE Main 2022 Mathematics question

MathematicsDifferential EquationJEE Main 2022

Let and be two distinct solution of the differential equation dy/dx = x + y, with and respectively. Then, the number of points of intersection of and is

Answer: (1)

Solution

Put x + y = t: dt/dx − 1 = t, so dt/(t + 1) = dx and |t + 1| = , i.e. |x + y + 1| = . For : C = 1, and for : C = 2. So

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Question ID VK-034425