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Consider the cubic equation in x , x ^(3...

Consider the cubic equation in `x , x ^(3) - x^(2) + (x- x ^(2)) sin theta + (x -x ^(2)) cos theta + (x-1) sin theta cos theta =0` whose roots are `alpha, beta , gamma. `
The value of `((alpha)/(2))^(2) + ((beta)/(2 )) ^(2) + ((gamma)/(2 ))^(2) =`

A

1

B

`1/2`

C

`2 cos theta`

D

`1/2(sin theta + cos theta + sin theta cos theta)`

Text Solution

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The correct Answer is:
B
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