Correct Answer - B
`x^(3)-(1+cos theta + sin theta) x^(2) +(cos theta sin theta + cos theta + sin theta)x-sin theta cos theta=0`
Given cubic function is
`f(x)=(x-1)(x-cos theta) (x- sin theta)`
Therefore, roots are `1, sin theta`, and `cos theta`.
Hence, `x_(1)^(2)+x_(2)^(2)+x_(3)^(2)=1+sin^(2) theta+cos^(2) theta=2`