A variable parabola `y^(2) = 4ax, a` (where `a ne -(1)/(4))` being the parameter, meets the curve `y^(2) +x - 2 = 0` at two points. The locus of the point of intersecion of tangents at these points is

A variable parabola y^(2) = 4ax, a (where a ne -(1)/(4)) being the parameter, meets the curve y^(2) +x -y- 2 = 0 at two points. The locus of the point of intersecion of tangents at these points is

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

If a pair of variable straight lines x^2 + 4y^2+alpha xy =0 (where alpha is a real parameter) cut the ellipse x^2+4y^2= 4 at two points A and B, then the locus of the point of intersection of tangents at A and B is

If a pair of variable straight lines x^(2)+4y^(2)+alpha xy=0 (where alpha is a real parameter) cut the ellipse x^(2)+4y^(2)=4 at two points A and B,the locus of the point of intersection of tangents at A and B is

If a pair of variable straight lines x^2 + 4y^2+alpha xy =0 (where alpha is a real parameter) cut the ellipse x^2+4y^2= 4 at two points A and B, then the locus of the point of intersection of tangents at A and B is

The locus of point of intersection of perpendicular tangent to parabola y^2= 4ax

The locus of the point of intersection of perependicular tangent of the parabola y^(2) =4ax is

The ,locus of the point of intersection of two perpendicular tangents to the parabola y^(2)=4ax is