If the tangent to the parabola y^{2}=x at a point (\\alpha+\\beta),(\\beta>0) is also a tangent to the ellipse, x^{2}+2 y^{2}=1 , then \alpha is equal to [9 Apr 2019 Shift 2]

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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

[9 Apr 2019 Shift 2]

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