Answer :

(1, 3)

Let P(x,y) be the position of the jet and the soldier is placed at A(3,2)


AP=


As y=x2+2 or y-2=x2


؞ AP2=(x-3)2 + x4=z (say)




؞ 2x-6+4x3=0


Put x=1


2-6+4=0


؞ x-1 is a factor


And


or x=1


(at x=1)>0


؞ z is minimum when x=1,y=1+2=3


Point is (1,3)


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