The parametric equations of the curve $y^2 = 8x$ are

If $m_1$ and $m_2$ are the slopes of the tangents drawn from the point $(1, 4)$ to the parabola $y^2 = 11x$,then $2(m_1^2 + m_2^2) = $

The vertex and the focus of the parabola $2x^2 + 5y - 6x + 1 = 0$ respectively,are

The tangent drawn at any point $P$ to the parabola ${y^2} = 4ax$ meets the directrix at the point $K$. Then the angle which $KP$ subtends at its focus is ............. $^\circ$.

The equation of the latus rectum of the parabola represented by the equation ${y^2} + 2Ax + 2By + C = 0$ is

The length of the latus rectum of the parabola $x^{2}+2y=8x-7$ is