Q1 of 85 Page 233

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.


More from this chapter

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18

If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that

1

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

Parallel to the x-axis,

 1

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

Passing through the origin.

 2

Find the values of q and p, if the equation x is the normal form of the line .