1.

यदि `x=1//(sqrt(2)+1)` हो तो `x^(2)+2x-1` का मान क्या होगा?A. `2sqrt(2)`B. `4`C. `0`D. `2`

Answer» Correct Answer - C
Giventhat `x=1/(sqrt(2)+1)`
and `x^(2)+2x-1`
`=x^(2)+2x-1+1-1`
`=x^(2)+2x+1-2`
`=(x+1)^(2)-2`
Now put the value of `x`
`=(1/(sqrt(2)+1)+1)^(2)-2`
`=((1+sqrt(2)+1)/(sqrt(2)+1))^(2)-2`
`=((sqrt(2)+2)/(sqrt(2)+1))^(2)-2`
`=(((sqrt(2)+1)xxsqrt(2))/(sqrt(2)+1))^(2)-2`
`[sqrt(2)]^(2)-2=2-2=0`


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