Question
Question: If \| z – i \| + \| z + i \| = 4 then the locus of point z is –...
If | z – i | + | z + i | = 4 then the locus of point z is –
A
Circle
B
Straight line
C
ellipse
D
hyperbola
Answer
ellipse
Explanation
Solution
Sol. Let P(z), A(0,1) & B(1,0) hence AB = 2
given that k = 4 Q k > AB hence locus of z is an ellipse