JEE Main 202310 Apr, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let the complex number z=x+iyz = x + iyz=x+iy be such that 2z−3i2z+i{{2z - 3i} \over {2z + i}}2z+i2z−3i is purely imaginary. If x+y2=0{x} + {y^2} = 0x+y2=0, then y4+y2−y{y^4} + {y^2} - yy4+y2−y is equal to :AOption A. 43{4 \over 3}34BOption B. 32{3 \over 2}23COption C. 34{3 \over 4}43DOption D. 23{2 \over 3}32CheckSkip · show solution