13:["$","div",null,{"className":"grid gap-4 mb-8","children":[["$","div","a",{"className":"p-4 border-2 border-gray-100 rounded-2xl hover:bg-blue-50 hover:border-blue-200 flex items-center gap-4 cursor-pointer group transition-all duration-300","children":[["$","span",null,{"className":"w-8 h-8 shrink-0 rounded-full bg-gray-100 text-gray-600 flex items-center justify-center font-bold uppercase group-hover:bg-blue-600 group-hover:text-white transition-colors shadow-sm","children":"a"}],["$","div",null,{"className":"text-gray-700 font-medium text-base md:text-lg","children":["$","span",null,{"className":"leading-loose text-gray-800 font-sans","children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}],["$","span","1",{"dangerouslySetInnerHTML":{"__html":"

\\operatorname{Re}(z) = 1/2

"},"className":"mx-1"}],["$","span","2",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}]]}]}]]}],["$","div","b",{"className":"p-4 border-2 border-gray-100 rounded-2xl hover:bg-blue-50 hover:border-blue-200 flex items-center gap-4 cursor-pointer group transition-all duration-300","children":[["$","span",null,{"className":"w-8 h-8 shrink-0 rounded-full bg-gray-100 text-gray-600 flex items-center justify-center font-bold uppercase group-hover:bg-blue-600 group-hover:text-white transition-colors shadow-sm","children":"b"}],["$","div",null,{"className":"text-gray-700 font-medium text-base md:text-lg","children":["$","span",null,{"className":"leading-loose text-gray-800 font-sans","children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}],["$","span","1",{"dangerouslySetInnerHTML":{"__html":"

\\operatorname{Im}(z) = 1/2

"},"className":"mx-1"}],"$L17"]}]}]]}],"$L18","$L19"]}]

Q.If zzz is a complex number such that ∣z+i∣=∣z−1∣|z+i| = |z-1|∣z+i∣=∣z−1∣, then

Correct Answer: Option A

Unlock Detailed Solution

Q.If $z$ is a complex number such that $|z+i| = |z-1|$ , then