The line x- y + 2 = 0 touches the parabola y² = 8x at the point:

The line $x-y+2=0$ i.e. 

$x=y-2$ meets parabola $y^2=8x$

$\begin{array}{l}\Rightarrow y^2=8(y-2)=8y-16\\ \Rightarrow y^2-8y+16=0\\ \Rightarrow (y-4{)}^2=0\Rightarrow y=4,4\end{array}$

$\therefore$ Roots are equal,

$\therefore$ Given line touches the given parabola.

$\therefore$ x = 4- 2 = 2, Thus the required point is (b, d).