The minimum distance between the circles |z|=1 and arg(z−z1z−z2)=π4, z1=9+5i ; z2=3+5i is ‘d’ than [d] is ([.] denotes G.I.F.)

arg(z−z1z−z2)=π4 is circle with centre at (6, 8) radius 32 |z|=1 circle (0, 0) radius ‘1’ d=10−(1+32) ; [d]=4

The minimum distance between the circles |z|=1 and arg(z−z1z−z2)=π4, z1=9+5i ; z2=3+5i is ‘d’ than [d] is ([.] denotes G.I.F.)

arg(z−z1z−z2)=π4 is circle with centre at (6, 8) radius 32 |z|=1 circle (0, 0) radius ‘1’ d=10−(1+32) ; [d]=4

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The minimum distance between the circles $| z | = 1$ and $\arg (\frac{z - z_{1}}{z - z_{2}}) = \frac{π}{4}, z_{1} = 9 + 5 i; z_{2} = 3 + 5 i$ is ‘d’ than $[d]$ is $([.]$ denotes G.I.F.)

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$\arg (\frac{z - z_{1}}{z - z_{2}}) = \frac{π}{4}$ is circle with centre at (6, 8) radius $3 \sqrt{2}$
$| z | = 1$ circle (0, 0) radius ‘1’
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$d = 10 - (1 + 3 \sqrt{2}); [d] = 4$

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The minimum distance between the circles |z|=1 and arg(z−z1z−z2)=π4, z1=9+5i ; z2=3+5i is ‘d’ than [d] is ([.] denotes G.I.F.)

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The minimum distance between the circles $| z | = 1$ and $\arg (\frac{z - z_{1}}{z - z_{2}}) = \frac{π}{4}, z_{1} = 9 + 5 i; z_{2} = 3 + 5 i$ is ‘d’ than $[d]$ is $([.]$ denotes G.I.F.)