The graph shows the normal lines from the point $(2,0)$ to the graph of the parabola $x=y^2.$ How many normal lines are there from the point $(x_0,0)$ to the graph of the parabola in the following cases?

$$

$($a$)x_0=\frac{1}{7}$

$$ normal line$($s$)$

$($b$)x_0=\frac{1}{2}$

$$ normal line$($s$)$

$($c$)x_0=3$

$$ normal line$($s$)$

For what value of $x_0$ are two of the normal lines perpendicular to each other?

$x_0=$

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