JEE Main 5 Apr 2024 Shift 1 Solved Paper

Let the line 2x+3y−k=0,k>0, intersect the x-axis and y-axis at the points A and B, respectively. If the equation of the circle having the line segment AB as a diameter is x2+y2−3x−2y=0 and the length of the latus rectum of the ellipse x2+9y2=k2 is ‌

m

n

, where m and n are coprime, then 2m+n is equal to