If the normal lines of the parabola y2=4x drawn at the end points of its latus rectum are tangents to the circle x−32+y+22=r2. Then the value of r2 is

Equation of the normal at the end points of latus rectum are y=x-2-1=x-3and y=-x+2+1=-x+3⇒x-y-3=0; x+y-3=0 Centre of the circle =(+3,-2)∴r=|3+2-3|2=2 ⇒r2=2