Question
Question: If p represents z = x + iy in the argand plane \| z – 1\|<sup>2</sup>+ \| z + 1\|<sup>2</sup> = 4 th...
If p represents z = x + iy in the argand plane | z – 1|2+ | z + 1|2 = 4 then locus of P is –
A
x2 + y2 = 2
B
x2 + y2 = 1
C
x2 + y2 = 4
D
x + y = 2
Answer
x2 + y2 = 1
Explanation
Solution
Sol. (x – 1)2 + y2 + (x + 1)2+y2= 42(x2 + 1) + 2y2 = 4
\ x2 + y2 = 1