Question

Let the tangent at any point P on a curve passing through the points (1, 1) and ($\frac{1}{10}$,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 $\frac{dy}{e^{dx}}Kx+\frac{K}{2}$ , y(0) = k, then 4y(1) – 5loge3 is equal to ______ .

Answer 1

The correct option is: 5