Let $Z_{1}$ and $Z_{2}$ be complex numbers such that $z_{1}^{2} - 4 z_{2}$ = 16 + 20i. Suppose that $α, β$ rae roots of $t^{2} + z_{1} t + z_{2} + m$ = 0 for some complex number 'm' satisfying $| α - β |$ = $2 \sqrt{7}$ . Then greatest value of |m| is

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If z be a complex number, then the minimum value of |z−7|+|z| is

The correct option is C 7|z−7| implies distance between (x,y) and (7,0).|z| means distance between (x,y) and (0,0)Minimum distance would be straight line between (0,0) and (7,0) which is 7.

If $z$ be a complex number, then the minimum value of $| z - 7 | + | z |$ is

The correct option is C $7$
$| z - 7 |$ implies distance between $(x, y)$ and $(7, 0)$ .
$| z |$ means distance between $(x, y)$ and $(0, 0)$
Minimum distance would be straight line between $(0, 0)$ and $(7, 0)$ which is $7$ .