Question

if z = x+iy then |3z-5| = 3|z+1| . find the value of The locus of z​

Answer 1

Answer:

6x=7

Step-by-step explanation:

If z=x+iy,∣3z−1∣=3∣z−2∣ and then locus of z

Given:

z=x+iy

∣3z−1∣=3∣z−2∣ …… (1)

Substitute the value of z in equation (1).

∣3(x+iy)−1∣=3∣(x+iy)−2∣

Simplify the above equation.

∣3x+3iy−1∣=3∣(x+2)+iy∣

∣(3x−1)+3iy∣=3∣(x+2)+iy∣

(3x−1)

2

+(3iy)

2

=3

(x+2)

2

+(iy)

2

6x

2

+1−6x−9y

2

=9(x

2

+4−4x−y

2

)

1−6x=36−36x

6x=7

Answer 2

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