Statement 1: The line joining the points `(8,-8)a n d(1/2,2),` which are on the parabola `y^2=8x ,` press through the focus of the parabola. Statement 2: Tangents drawn at `(8,-8)` and `(1/2,2),` on the parabola `y^2=4a x` are perpendicular.

The focus of the parabola x^2-8x+2y+7=0 is

The focus of the parabola y^(2)-4y-8x-4=0 is

The focus of the parabola y^(2)-4y-8x+4=0 is,

The focus of the parabola x^(2)-2x-8y-23=0 is

Find the point where the line x+y=6 is a normal to the parabola y^2=8x .

The vertex of the parabola y^(2)-2x+8x-23=0 is

The angle between the pair of tangents drawn form (1, 3) to the parabola y^(2)=8x , is

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at eh point

If P is the point (1,0) and Q is any point on the parabola y^(2) = 8x then the locus of mid - point of PQ is

Statement 1: Normal chord drawn at the point (8, 8) of the parabola y^2=8x subtends a right angle at the vertex of the parabola. Statement 2: Every chord of the parabola y^2=4a x passing through the point (4a ,0) subtends a right angle at the vertex of the parabola.