AP EAMCET · Maths · Complex Number
If \(|z-3 i|+|z+5 i|=4\), then the locus of \(z\) is
- A No such point \(z\) exists.
- B Ellipse
- C Parabola
- D Circle
Answer & Solution
Correct Answer
(A) No such point \(z\) exists.
Step-by-step Solution
Detailed explanation
Given, \(|z-3 i|+|z+5 i|=4\) It is of the form \(\left|z-z_1\right|+\left|z-z_2\right|=k\) \(\ldots\) (i) Eq. (i) represents an ellipse if \(k>\left|z_1-z_2\right|\) Here, \(z_1=3 i\) and \(z_2=-5 i\)…
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