\( \left|z-z_{1}\right|^{2}+\left|z-z_{2}\right|^{2}=\left|z_{1}-z_{2}\right|^{2} \) represent a....

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\( \left|z-z_{1}\right|^{2}+\left|z-z_{2}\right|^{2}=\left|z_{1}-z_{2}\right|^{2} \) represent a conic \( C \), then
(1) eccentricity of conic is 0
\( \mathrm{P} \)
(2) eccentricity of conic is 1
(3) area bounded by conic is \( \frac{\pi\left|z_{1}-z_{2}\right|^{2}}{4} \)
(4) let \( P(z) \) be a point on conic ' \( C \) ' then, orthocenter of \( \triangle P A B \) and point \( \frac{z_{1}+z_{2}}{2} \) are at a distance of \( \frac{\left|z_{1}-z_{2}\right|}{2} \) from each other.


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