If \( z=\frac{m z_{1}+z_{2}}{m+1} \), then distance of point \( z \...

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If \( z=\frac{m z_{1}+z_{2}}{m+1} \), then distance of point \( z \) from the line joining \( z_{1}+1 \) and \( z_{2}+1 \) is
(a) 0
(b) 1
(c) \( \frac{2 m}{m+1} \)
(d) \( \frac{m}{m+1} \)
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