If a parabola whose length of latus rectum is 4a touches both the coordinate axes then the locus of its focus is

An ellipse with major axis 4 and minor axis 2 touches both the coordinate axes,then locus of its focus is

Find the axis, coordinates of vertex and focus, length of latus rectum, equation of directrix and the coordinates of the ends of latus rectum of the following parabola : y^(2) = 20 x

Find the axis, coordinates of vertex and focus, length of latus rectum, equation of directrix and the coordinates of the ends of latus rectum of the following parabola : x^(2) = - 12 y

Find the axis, coordinates of vertex and focus, length of latus rectum, equation of directrix and the coordinates of the ends of latus rectum of the following parabola : 3y ^(2) = - 4 x

Find the axis, coordinates of vertex and focus, length of latus rectum, equation of directrix and the coordinates of the ends of latus rectum of the following parabola : 4 (x - 2) ^(2) = - 5 ( y + 3)

Find the axis, coordinates of vertex and focus, length of latus rectum, equation of directrix and the coordinates of the ends of latus rectum of the following parabola : y^(2) - 4 x - 2 y - 7 = 0

Two parabolas have coordinate axes as their directrices and having same focus.If the square of latus rectum of one parabola is equal to length of latus rectum of second and locus of focus is conic C, then length of latus rectum of conic C is

Find the equation of the parabola whose vertex is (2,3) and the equation of latus rectum is x = 4 . Find the coordinates of the point of intersection of this parabola with its latus rectum .

PQ is a double ordinate of a parabola y^(2)=4ax . The locus of its points of trisection is another parabola length of whose latus rectum is k times the length of the latus rectum of the given parabola, the value of k is

Find the coordinates of focus, equation of directrix, length of latus rectum and the co-ordinates of end points of latus rectum of the following Parabola. : y^2=-20x