Let $z_{1}$ and $z_{2}$ be two fixed complex numbers in the Argand plane and $z$ be an arbitrary point satisfying $|z-z_{1}|+|z-z_{2}|=2|z_{1}-z_{2}|$. Then, the locus of $z$ will be
- Aan ellipse
- Ba straight line joining $z_{1}$ and $z_{2}$
- Ca parabola
- Da bisector of the line segment joining $z_{1}$ and $z_{2}$
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View SolutionLet $z_{1}$ and $z_{2}$ be two complex numbers such that $\arg(z_{1}-z_{2})=\frac{\pi}{4}$ and $z_{1}, z_{2}$ satisfy the equation $|z-3|=\operatorname{Re}(z)$. Then the imaginary part of $z_{1}+z_{2}$ is equal to ..... .
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