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Question

If 11x1x1x11 has no inverse, then the real value of x is

A
2
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B
3
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C
0
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D
1
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Solution

The correct option is C 1
Since inverse not exist
11x1x1x11=0
11x0x+11xx11=0
Expanding along C1
1[x+1+1x]+x[1+xx2x]=0
x3+x2=0
(x1)(x2+x+2)=0
x=1 (x2+x+2 has imaginary roots)

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