From a point $(d, 0)$,three normals are drawn to the parabola $y^{2} = x$. Then:

The parametric equations $x - 2 = t^2$ and $y = 2t$ represent which parabola?

The diameter of the parabola $y^2 = 4ax$ which bisects the chords parallel to $y = mx + \alpha$ is:

The number of normals drawn to the parabola $y^2=4x$ from the point $(1,0)$ is

Three normals are drawn from the point $(c, 0)$ to the curve $y^2=x$. If one of the normals is the $X$-axis,then the value of $c$ for which the other two normals are perpendicular to each other is

The equation of the tangent to the parabola $y^2 = 4x + 5$ parallel to the line $y = 2x + 7$ is