A helicopter of the enemy is flying along the curve given by . A soldier, placed at (3, 7), wants to shoot down the helicopter when it is nearest to him. Find the nearest distance.
Curve and is cordinate and .
Distance
Differentiate wrt x,
In the quadratic part, D<0. Therefore no roots.
is the root of the equation.
Minima is at x = 1
At x=1,
Therefore, the minimum distance is .