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

Question

Find the values of k for which the line (k–3) x – (4 – k 2 ) y + k 2 –7k + 6 = 0 is Parallel to the y-axis,

Philoid · Accepted Answer

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.