Ellipse & Parabola Questions (2)

Let $a$, $b$, $k$ be positive real numbers. Suppose $Q$ is a point on the parabola $y^2=4kx$ such that its distance from the focus is $2k$ and it lies in the first quadrant. An ellipse $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ passes through $Q$. If the normal to the parabola at $Q$ and the tangent to the ellipse at $Q$ are parallel, then the eccentricity of the ellipse is:

Let $a$, $b$, $k$ be positive real numbers. Suppose $Q$ is a point on the parabola $y^2=4kx$ such that its distance from the focus is $2k$ and it lies in the first quadrant. An ellipse $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ passes through $Q$. If the normal to the parabola at $Q$ and the tangent to the ellipse at $Q$ are parallel, then the eccentricity of the ellipse is: