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Consider the cubic equation x^(3)-(1+c...

Consider the cubic equation
`x^(3)-(1+cos theta+sin theta)x^(2)+(cos theta sin theta +cos theta + sin theta)x - sin theta cos theta =0`. When roots are `x_(1),x_(2)` and `x_(3)`.
The value of `x_(1)^(2)+x_(2)^(2)+x_(3)^(2)` equals

A

1

B

2

C

`2cos theta`

D

`sin theta(sin theta+cos theta)`

Text Solution

Verified by Experts

The correct Answer is:
B
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