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The maximum value of |(1,1,1),(1,1+sinth...

The maximum value of `|(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)|` is `1/2` Is it true or false

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The correct Answer is:
N/a
True
Since `|(1,1,1),(0,sintheta,0),(0,0,costheta)| [ :' R_(2)toR_(2)-R_(1)` and `R_(3)toR_(3)-R_(1)]`
On expanding along third row, we get the value of the determinant
`=costheta.sintheta=1/2sin2theta=1/2`
[when `theta` is `45^(@)` which gives maximum value]
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