FIND THE POINT ON THE CURVE Y*Y=4X WHICH IS NEAREST TO THE POINT (0,5).

Asked by  | 18th Feb, 2011, 12:00: AM

Expert Answer:

Dear student,
 
Let A(x, y) be the required point which is closest to the point B(0, 5). Then the distance AB should be the minimum.
Therefore, AB2 should be minimum.
AB= (x - 0)2 + (y - 5)=
Now, calculate f'(y) and equate it to zero to get a value of y and show thta f''(x) is greater than 0 at that point.
That point will be the point of minima.
Then for that value of y, find the corresponding value of x from the given equation of the curve. That point will be the required point.
 
We hope that clarifies your query.
 
Regards,
Team
TopperLearning

Answered by  | 28th Feb, 2011, 10:49: PM

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