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A jet of enemy is flying …

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A jet of enemy is flying along the curve y=x^2 + 2 and a soldier is placed at the point (3,2). Find the minimum distance between the soldier and the jet .
  • 2 answers

Gaurav Seth 6 years, 7 months ago

Let the point (x, y) be the current position of helicopter along the curve (y = x2 + 2).

Given jet is placed at the point (3,2).

Therefore, distance between jet and soldier = D

Now, we know that, if D is minimum then D2 is also minimum.

So, D2 =  

 

For minimum D2, we have 

⇒ x = 1 as there are no real rots for the equation

Again,

Clearly, for x = 1, distance is minimum.

On putting value of x in the given curve , we get

y = (1)2 + 2 = 3

Therefore, point (1,3) is nearest to point (3,2)

Hence, minimum distance =

Aman Kumar 6 years, 7 months ago

4
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