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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 + 2y 2 = 1, then α is equal to :

1. 2 + 1
2. 2 2 + 1
3. 2 – 1
4. 2 2 – 1

Correct answer: 2 + 1

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