Parabola

Consider a point P on a parabola such that 2 of the normal drawn from it to the parabola are at right angles on parabola, then If P -= (x _(1), y _(1)), the slope of third normal is, if If the equation of parabola is y^(2)= 8x

The endpoints of two normal chords of a parabola are concyclic.Then the tangents at the feet of the normals will intersect (a) at tangent at vertex of the parabola (b) axis of the parabola (c) directrix of the parabola (d) none of these

Consider a point P on a parabola such that 2 of the normal drawn from it to the parabola are at night angles on parabola, then The ratio of latus rectum of given parabola and that of made by locus of point P is

Consider two parabola y=x^(2)-x+1 and y=x^(2)+x+(1)/(2), the parabola y=-x^(2)+x+(1)/(2) is fixed and parabola y=-x^(2)+1 rolls without slipping around the fixed parabola,then the locus of the focus of the moving parabola is