The distance between a tangent and a normal of same slope 2 ,of the parabola `y^(2)=8x` is equal to

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

The number of normals to the parabola y^(2)=8x through (2,1) is

The line 2x+y+lamda=0 is a normal to the parabola y^(2)=-8x, is lamda =

Sum of the slopes of the tangents from the point (-1,-2) to the parabola y^(2)=8x is

The distance between a tangent to the parabola y^(2)=4Ax(A>0) and the parallel normal with gradient 1 is

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

A tangent and a normal are drawn at the point P(2,-4) on the parabola y^(2)=8x , which meet the directrix of the parabola at the points A and B respectively. If Q (a,b) is a point such that AQBP is a square , then 2a+b is equal to :

If the normal at P(18, 12) to the parabola y^(2)=8x cuts it again at Q, then the equation of the normal at point Q on the parabola y^(2)=8x is