Question

The maximum value of `Delta=|(1,1,1),(1,1+sintheta,1),(1+costheta,1,1)|` is (`theta` is real) (A) `1/2` (B) `(sqrt(3))/2` (C) `sqrt(2)` (D) `-(sqrt(3))/2`

Answer 1

`|(1,1,1),(1,1+sin theta, 1),(1+cos theta, 1,1)|`
`c_2-> c_2 - c_1`
`c_3 -> c_3 - c_1`
`|(1,0,0),(1,sin theta, 0),(1+cos theta, - cos theta, -cos theta)|`
`= 1(-sin theta cos theta)`
`= -(sin2 theta)/2`
`= 1/2`
Answer