Question

P represent the variable complex number z,find the standard path of P ,if |2z-1|=2|z|​

Answer 1

Answer:

r u in inter second year??

Answer 2

Answer:

locus of P is straight line x = 1/4

Step-by-step explanation:

Let z = x + i y

Now, ∣2z−1∣ = 2∣z∣

⇒∣2(x+iy)−1∣=2∣x+iy|

=> $(2x-1) ^2 +4y 2 =4(x 2 +y 2)$

[Squaring both sides and calculating

we get ]

=> 4x = 1

=> x = 1/4

Thus locus of P is straight line x = 1/4