If the tangent to the parabola y2=x at a point (α,β), (β>0) is als – InterviewSolution

1.	If the tangent to the parabola y2=x at a point (α,β), (β>0) is also a tangent to the ellipse, x2+2y2=1, then α is equal to :
Answer» If the tangent to the parabola $y^{2} = x$ at a point $(α, β),$ $(β > 0)$ is also a tangent to the ellipse, $x^{2} + 2 y^{2} = 1$ , then $α$ is equal to :

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