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Question

If x1x=1. Find value of x2+(1x)2.

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is C 3
x1x=1
Squaring both sides,
We get, (x1x)2=(1)2
Using the identity: (ab)2=a22ab+b2
x2+(1x)22×x×1x=1
x2+(1x)22=1
x2+(1x)2=1+2=3

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