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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 D 1

A=∣ ∣11x1x1x11∣ ∣hasnoinversex

if|A|=0

∣ ∣11x1x1x11∣ ∣=0

1(x+1)1(1+x)+x(1x2)=0

x+1+1xxx3=0

x3x+2=0

x3+x2=0

(x1)(x2+x+2)=0

x=1isrealvalue


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