An enemy jet is flying along the curve . A soldier is placed at the point (3, 2). Find the nearest point between the soldier and the jet.
(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)