`A P` is perpendicular to `P B` , where `A` is the vertex of the parabola `y^2=4x` and `P` is on the parabola. `B` is on the axis of the parabola. Then find the locus of the centroid of ` P A Bdot`

The vertex of the parabola y^2 = 4x + 4y is

Find the vertex of the parabola x^2=2(2x+y)

The vertex of the parabola y^2 + 4x = 0 is

The vertex of the parabola x^(2)=8y-1 is :

The axis of the parabola x^(2)=-4y is ……. .

If the vertex of the parabola is (3,2) and directrix is 3x+4y-(19)/7=0 , then find the focus of the parabola.

A square has one vertex at the vertex of the parabola y^2=4a x and the diagonal through the vertex lies along the axis of the parabola. If the ends of the other diagonal lie on the parabola, the coordinates of the vertices of the square are (a) (4a ,4a) (b) (4a ,-4a) (c) (0,0) (d) (8a ,0)

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then find the locus of Pdot

If the normals at P(t_(1))andQ(t_(2)) on the parabola meet on the same parabola, then

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.