Let the lines (2–i)z=(2+i)¯¯¯z and (2+i)z+(i–2)¯¯¯z–4i=0, – InterviewSolution

1.	Let the lines (2–i)z=(2+i)¯¯¯z and (2+i)z+(i–2)¯¯¯z–4i=0, (here i2= –1) be normal to a circle C. If the line iz+¯z+1+i=0 is tangent to this circle C, then its radius is :
Answer» Let the lines $(2 - i) z = (2 + i) ¯ ¯ ¯ z$ and $(2 + i) z + (i - 2) ¯ ¯ ¯ z - 4 i = 0,$ $($ here $i^{2} = - 1$ $)$ be normal to a circle $C$ . If the line $i z + ¯ z + 1 + i = 0$ is tangent to this circle $C$ , then its radius is :

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