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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