Find the locus of a point which is such that, Two of the normals drawn from it to the parabola `y^2 = 4ax` are at right angle.

Three normals drawn from a point (hk) to parabola y^(2)=4ax

Show that the locus of points such that two of the three normals drawn from them to the parabola y^2 = 4ax coincide is 27ay^2 = 4(x-2a)^3 .

Find the locus of the point of intersection of those normals to the parabola x^(2)=8y which are at right angles to each other.

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

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 If the equation of parabola is y ^(2) =8x, then locus of P is

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola y^(2)=4ax