Problem 46 Given point on the conjugate axis of an equilateral hyperbola, find the shortest distance to the curve.
Solution:
For equilateral hyperbola, b = a.
Thus,
Distance d:
Nearest Distance:
answer
Problem 47 Find the point on the curve a2 y = x3 that is nearest the point (4a, 0).
from
by trial and error:
The nearest point is (a, a). answer
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