If z=x+iy and arg(z-iz+2) = π/4, show that x2+y2+3x-3y+2=0

If z=x+iy and arg $(\frac{z - i}{z + 2})$ = π/4, show that $x^{2} + y^{2}$ +3x-3y+2=0

Matching exercise

Match the items on the right to the items on the left.

Step 1

Step 2

Step 3

Step 4

Step 5

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step 5.PNG