Tag: tracing of the parabola

If the eqn of directrix to the parabola $x^{2}+4y-6x+\lambda=0$ is $y+1=0$, then 

The focus of the parabola $y ^ { 2 } = 4 y - 4 x$ is

Equation of the directrix of the parabola whose focus is $(0,0)$ and the tangent at the vertex is $x-y+1=0$ is 

The equation of the directrix of the parabola, $y ^ { 2 } + 4 y + 4 x + 2 = 0$ is -

The equation of directrix of the parabola $(y-2)^{2}=4(x-4)$, is

The vertex of the parabola $ {4y}^{2} + 12x-12y+39= 0$ is:

The focus of the parabola $(y-2)^{2}=20(x+3)$ is:

A parabola is written as $x^{2}=4ay$, its focus and equation of the directrix is:

Focus of the parabola $4x^{2}-12x+8y+13=0$ is

The locus of the foot of the perpendicular from the focus upon a tangent to the parabola $y^{2}=4ax$ is