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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)`.
Number of values of `theta` in `[0,2pi]` for which at least two roots are equal

A

2

B

1

C

`sqrt(2)`

D

`2sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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