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Let the tangent at any point P on a curv...

Let the tangent at any point P on a curve passing through the points (1, 1) and `(1/10,100)` , intersect positive x-axis and y-axis at the points A and B respectively. If `PA : PB = 1 : k and y = y(x)` is the solution of the differential equation `e^(dy/dx) =kx +k/2, y (0) = k` then `4y(1)-5log _e3` is equal to____.

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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