JEE Main 202226 Jul, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002If z=x+iyz=x+i yz=x+iy satisfies ∣z∣−2=0|z|-2=0∣z∣−2=0 and ∣z−i∣−∣z+5i∣=0|z-i|-|z+5 i|=0∣z−i∣−∣z+5i∣=0, then :AOption A. x+2y−4=0x+2 y-4=0x+2y−4=0BOption B. x2+y−4=0x^{2}+y-4=0x2+y−4=0COption C. x+2y+4=0x+2 y+4=0x+2y+4=0DOption D. x2−y+3=0x^{2}-y+3=0x2−y+3=0CheckSkip · show solution