# How to find the length of the focal chord that makes an angle $\theta$ with the axis of parabola $y^2=4ax$?

A focal chord of $$y^2=4ax$$ makes an angle $$\theta$$ with the axis of the parabola. How do I find the length of the chord?

I tried using the parametric equation but couldn't go further.

• What is the equation of the line that makes an angle $\theta$ with the $y$-axis and goes through the focus? (This line contains the focal chord given in the question.)