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Question

If x+1x=11, find the value of x2+1x2.

A
11
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B
121
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C
119
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D
1
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Solution

The correct option is B 119
Given, x+1x=11.

We know, (a+b)2=a2+b2+2ab.

Then, x+1x=11.
On squaring both sides, we get,
(x+1x)2=112

x2+(1x)2+2(x)(1x)=121

x2+(1x)2+2=121

x2+1x2=1212=119.

Therefore, option C is correct.

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