यदि `2sin((pix)/(2))=x^(2)+(1)/(x^(2))` है तो `(x-(1)/(x))` का मान ज्ञात करे?

Options

A. `-1`
B. `2`
C. `1`
D. 2

Answer

d

Explanation

`2 sin [(pi x)/(2)]=x^(2)=(1)/(x^(2))`
Let x=1
`2 sin90=1^(2)+(1)/(1 ^(2))`
`2xx1=1+1`
2-2 matched so x=3
so, `x-(1)/(x)`
`rArr1-(1)/(1)=0`