The points on the parabola $y^2 = 36x$ whose ordinate is three times the abscissa are

If $(0, 6)$ and $(0, 3)$ are respectively the vertex and focus of a parabola,then its equation is

If $ax + by = 1$ is a normal to the parabola $y^2 = 4px$, then the condition is:

Let $L_1, L_2$ be the lines passing through the point $P(0,1)$ and touching the parabola $9x^2+12x+18y-14=0$. Let $Q$ and $R$ be the points on the lines $L_1$ and $L_2$ such that the $\triangle PQR$ is an isosceles triangle with base $QR$. If the slopes of the lines $QR$ are $m_1$ and $m_2$,then $16(m_1^2+m_2^2)$ is equal to ..............

If $(0, 0)$ is the vertex and $3x - 4y + 2 = 0$ is the directrix of a parabola,find the length of its latus rectum. (in $/5$)

If the focus of a parabola is at the origin $(0, 0)$ and the line $x = 2$ is its directrix,what is the vertex of the parabola?