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

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

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

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.

In figure, arcs have been drawn of radius 21 cm each with vertices A , B , C and D of quadrilateral ABCD as centres . Find the area of the shaded region.

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

A parabola y=ax^(2)+bx+c with a gt0 passes through the points (-2,3)(pq), and (5,3). If (p,q) is the lowest point on the parabola, what is the value of p?

P(2,2), Q(-2,2) R(-2,-2) & S(2,-2) are vertices of a square. A parabola passes through P. S & its vertex liesn on x-axis. If this parabola bisect the area of the square PQRS, then vertex of the parabola

The line x+ y +2=0 is a tangent to a parabola at point A, intersect the directrix at B and tangent at vertex at C respectively. The focus of parabola is S(a, 0) . Then