Find the axis and focus of the parabola `y^(2)-2y+8x-23 = 0`.

The focus of the parabola y^2 = 20 x is

The focus of the parabola 4y^2 + 12x - 12y + 39 = 0 is

The focus of the parabola x^2 -2x +8y + 17=0 is :

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

The axis of the parabola x^(2)=20y is ........

Axis of the parabola x^2 - 3y - 6x + 6 = 0 is

(i) Find the points of intersection of the parabola y ^(2) = 8x and the line y = 2x . (ii) Find, using integration, the area enclosed between the line and the parabola.

y = sqrt(3)x +lambda is drawn through focus S of the parabola y^(2)= 8x +16 . If two intersection points of the given line and the parabola are A and B such that perpendicular bisector of AB intersects the x-axis at P then length of PS is

Find the coordinates of the focus , axis, the equation of the directrix and latus rectum of the parabola y^(2)=8x .