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If tangent of y^(2)=x at (alpha,beta), w...

If tangent of `y^(2)=x` at `(alpha,beta)`, where `betagt0` is also a tangent of ellipse `x^(1)2y^(2)=1` then value of `alpha` is

A

`sqrt(2)-1`

B

`2sqrt(2)-1`

C

`2sqrt(2)+1`

D

`sqrt(2)+1`

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The correct Answer is:
A
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