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
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.
AB2 = (x - 0)2 + (y - 5)2 =
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.
Answered by | 28th Feb, 2011, 10:49: PM
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