Find the values of k for which the line (k–3) x – (4 – k2) y + k2 –7k + 6 = 0 is

Parallel to the y-axis,


The given equation of the

(k–3) x – (4 – k2) y + 6


If the given line is parallel to the y- axis, then its slope will be undefined.


The slope of the line is =


Now, is undefined at k2 = 4


k2 = 4


k = 2


Therefore, if the given line is parallel to the y – axis, then the value of k is 2.


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