If the parabola `y^(2)=ax` passes through `(1,2)` then the equation of the directrix is

The locus of mid points of chords of the parabola y^(2)=4ax passing through the foot of the directrix is

If the parabola y^(2)=4ax passes through (3, 2). Then the length of its latusrectum, is

The focal chord of the parabola y^(2)=ax is 2x-y-8=0. Then find the equation of the directrix.

If the parabola y^(2)=4ax passes through the point (3,2) then find the length of its latus rectum.

If the parabola y^(2) = 4ax passes through the point (4, 1), then the distance of its focus the vertex of the parabola is

The parabola y^(2)=4ax passes through the point (2, -6), then the length of its latusrectum, is

If two distinct chords of the parabola y ^(2) = 4ax, passing through (a, 2a) are bisected on the line x + y=1, then length of the latus-rectum can be

The line 2x + y = 1 touches a hyperbola and passes through the point of intersection of a directrix and the x-axis. The equation of the hyperbola is

If the parabola y^(2)=4ax passes through the centre of the circle x^(2)+y^(2)+4x-12y-4=0, what is the length of the latus rectum of the parabola