JEE Mains 10-Apr-2023 Shift 2 Solved Paper

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 then 4y(1)−5‌log‌e3 is equal to _________.