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An are PQ of a circle subtends a right a...

An are `PQ` of a circle subtends a right angle at its centre O. The mid point of the arc PQ is R. If `vec(OP)=vecu , vec(OR) =vec(v) and vec(OQ) = alpha vecu+beta vecv` , then `alpha, beta^2` are the roots of the equation

A

`3x^2+2x-1`

B

`3x^2-2x-1`

C

`x^2+x-2`

D

`x^2-x-2`

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