JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-15
question_answer
If z be a complex number such that the equation \[|z-{{k}^{2}}|+|z+2k|=3\] always represents an ellipse then the number of integers in the range of k (where \[k\in R\]) is/are
A) 0
B) 1
C) 2
D) 3
Correct Answer:
B
Solution :
\[|z-{{k}^{2}}|+|z+2k|=3\]represent ellipse when\[|{{k}^{2}}+2k|<3\]Solving this get, \[k\in (-3,1)\]. Ans.