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Let \(z_1=2+3 i\) and \(z_2=3+4 i\). The set \(S =\left\{z \in C :\left|z-z_1\right|^2\right.\) \(\left.-\left|z-z_2\rig…

Q1

Let \(z_1=2+3 i\) and \(z_2=3+4 i\). The set \(S =\left\{z \in C :\left|z-z_1\right|^2\right.\) \(\left.-\left|z-z_2\right|^2=\left|z_1-z_2\right|^2\right\}\) represents a

[JEE Main 2023, 25 Jan (Shift 1)]

a

straight line with sum of its intercepts on the coordinate axes equals 14

b

hyperbola with the length of the transverse axis 7

c

straight line with the sum of its intercepts on the coordinate axes equals -18

d

hyperbola with eccentricity 2

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