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

If the tangent to the parabola y^2 = x at a point (α, β),… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 9 April · Shift II

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 + 2y^2 = 1

, then

\alpha

is equal to

Show answer

Correct option: A

[JEE Main 2019 · 9 April · Shift II]

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