Figure $(1)$ shows distance protection for a section of a power system. The $\backslash ($ I $\backslash )$ zone setting at $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ is $150$ ohms.

a$.$ What will be impedance seen by the relay at A for a fault at $\backslash (\backslash$mathrm$\{$F$\}\_\{\backslash$text $\{?\}\}\backslash )?$ Will the relay at A operate before the circuit breaker at B has tripped?

b$.$ Will the relay at B trip for a fault at $\backslash ($ F $\backslash ),$ before the circuit breaker at A has tripped?

c$.$ How will the fault at $\backslash (\backslash$mathrm$\{$F$\}\_\{2\}\backslash )$ bo cleared?