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 +...

Question

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:

Accepted Answer

(A)

JEE Main 2019 Mathematics question