I am using Wolfram Mathematica 11. Given these quantities:

v = 3; 
Y = Sqrt[v^2 - X^2];

Ja = BesselJ[0, X]; 
Jap = -BesselJ[1, X];

Ka = BesselK[0, Y]; 
Kap = -BesselK[1, Y];

side1 = Jap / (X*Ja); 
side2 = -Kap / (Y*Ka);

I would like to obtain the same visual output as:

Plot[{side1, side2}, {X, 0, 10}]

but on a .txt file, simply containing a table of values in this notation:

 0.0000000000e+00 -inf -inf
 3.0060120240e-02 -2.3042094212e+00 -2.1217639107e+01
 6.0120240481e-02 -1.8613440179e+00 -1.0654661322e+01

First column should list the X values; second column should list the corresponding side1 values; third column the corresponding side2 values.

How is it possible, with and without adaptive sampling?

Important note: I am not obliged to use Plot. I would like to obtain a .txt output file with the lines in the same format as above. The way it is created (through Plot or any other suitable function) is not important.

Edit: I obtained two separate tables (in the desired format) this way:

pts1 = Cases[Plot[side1[X], {X, 0, 10}, PlotRange -> {-1.6, 1.6}], Line[data_] :> data, All]~Flatten~1; Export["file1.txt",pts1,"Table"]

pts2 = Cases[Plot[side2[X], {X, 0, 10}, PlotRange -> {-1.6, 1.6}], Line[data_] :> data, All]~Flatten~1; Export["file2.txt",pts2,"Table"]

Thanks to @MarcoB for his suggestions in the comments. Each file has only two columns. Note that file1.txt spans from X = 0 to X = 10, while file2.txt from X = 0 to X = 1.778, for the reasons pointed out by @m_golberg.

I was looking for a single table with (from left to right) a column for the abscissa, a column for side1 and a column for side2. This solution instead would demand to the external reader, which uses the table, the task to correctly overlap the two tables. This was not my initial intention, but if this is the only way, it is acceptable as well.