The parabola $y^2 = x$ is symmetric about

The end points of the latus rectum of the parabola $x^2 = 4ay$ are

The angle of intersection between the curves $x^2 = 4(y + 1)$ and $x^2 = -4(y + 1)$ is

From the point $(-1, 2)$, tangents are drawn to the parabola $y^2 = 4x$. The area of the triangle formed by the chord of contact and the tangents is: (in $\sqrt{2}$)

If the directrix of the parabola $x^2+4y-6x+\lambda=0$ is $y+1=0$,then which of the following is correct?

The length of the latus rectum of the parabola $4y^{2} + 3x + 3y + 1 = 0$ is