Find the equation of the parabola with focus $(0, -3)$ and directrix $y = 3$.

If $(x_1, y_1)$ and $(x_2, y_2)$ are the end points of a focal chord of the parabola $y^2 = 5x$,then $4x_1x_2 + y_1y_2$ is equal to

The length of the latus rectum of the parabola $y^2+8x-2y+17=0$ is

Statement $- 1 :$ For all non-zero values of $m$,$y = mx - 1/m$ is always a tangent to the parabola $y^2 = -4x$.
Statement $- 2 :$ Every tangent to the parabola $y^2 = -4x$ touches its axis at a point whose $x$-coordinate is non-negative.

The area of the triangle formed by the lines joining the vertex of the parabola,$x^2 = 8y$,to the extremities of its latus rectum is

If the normal drawn at $P(8, 16)$ to the parabola $y^2 = 32x$ meets the parabola again at $Q$,then the equation of the tangent drawn at $Q$ to the parabola is