1.

If `cos_(theta)+sin_(theta)=sqrt2` then `cos_(theta)-sin_(theta)` is(यदि`cos_(theta)+sin_(theta)=sqrt2` है तो `cos_(theta)-sin_(theta)`)A. `sqrt2 tan theta`B. `-sqrt2 cos theta`C. `-sqrt2 sin theta`D. `-sqrt2 sin`

Answer» Correct Answer - d
`sin theta-cos theta=(1)/(2)` ......(i)
`rArr sin theta++cos theta=m` (ii)
then,
`a^(2)+b^(2)=c^(2)+d^(2)`
`1^(@)+1^(2)=((1)/(2))^(2)+m^(2)`
`2=(1)/(4)+m^(2)`
`m^(2)=2-(1)/(4)=(7)/(4)`
`rArrm=sqrt(7)/(2)`


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