In the adjacent figure a parabola is drawn to pass through the vertices B,C and D of the square ABCD. If `A(2,1),C(2,3)`, then focus of this parabola is

Focus of parabola y=ax^(2)+bx+c is

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)

A parabola is drawn with focus at (3,4) and vertex at the focus of the parabola y^2-12x-4y+4=0 . The equation of the parabola is

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

Number of distinct normals of a parabola passing through the focus of the parabola is

A parabola passes through the point the point (1,2), (2,1), (3,4) and (4,3). Find the equation of the axis of parabola.

The focus of a parabola is (1,2) and the point of intersection of the directrix and axis is (2,3).Then the equation of the parabola is