50 - 52 Nearest distance from a given point to a given curve

Problem 50
Find the shortest distance from the point (4, 2) to the ellipse x2 + 3y2 = 12.

Solution:

Another Solution:

 

Problem 51
Find the shortest distance from the point (1 + n, 0) to the curve y = xn, n > 0.

Solution:

 

Problem 52
Find the shortest distance from the point (0, 5) to the ellipse 3y2 = x3.

Solution:

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