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Question

if A={x:x2=1} and B={x:x4=1}, then AΔB is equal to

A
{i,i}
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B
{11}
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C
{11,i,i}
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D
{1,i}
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Solution

The correct option is A {i,i}
Given: A={x:x2=1} and B={x:x4=1}
Consider, A={x:x2=1}
x2=1
x=±1
So, A={1,1}
and B={x:x4=1}
x2=±1
x2=1 or x2=1
x=±1 or x=±i
So, B={1,1,i,i}
Now AΔB=(AB)(BA)=ϕ{i,i}
So, A is correct option.

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