# CBSE Class 12-science Answered

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

Asked by | 18 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, AB

^{2}should be minimum.AB

^{2 }= (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.

Regards,

Team

TopperLearning

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

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