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Projecting the Tangent Point of an Ellipse

​
set a
3.284
set x
1.2
move b
2.5
show axes
Let the tangent from a point
A
on the
x
axis to the ellipse with semimajor axis
a
and semiminor axis
b
touch at the point
P
in the first quadrant. (The equation of the ellipse is
2
x
/
2
a
+
2
y
2
b
=1
.) Then the
x
value of
P
remains the same as
b
changes.
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