1.

If `tantheta+sintheta=mandtantheta-sintheta=n`,thenA. `m^2-n^2=4mn`B. `m^2+n^2=4mn`C. `m^2-n^2=m^2+n^2`D. `m^2-n^2=4sqrt(mn)`

Answer» Correct Answer - D
From the given relations,
`m+n=2tantheta,m-n=2sintheta`.
Thus,`m^2-n^2=4tanthetasintheta`
Also `sqrt(mn)=sqrt(tan^2theta-sin^2theta)=sinthetatantheta`
From Eqs. (i) and (ii), we get `m^2-n^2=4sqrt(mn)`.


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