The centroid of the triangle formed by the feet of three normals to the parabola `y^2=4ax`

The area of the triangle formed by the tangent and the normal to the parabola y^(2)=4ax, both drawn at the same end of the latus rectum, and the axis of the parabola is 2sqrt(2)a^(2)(b)2a^(2)4a^(2)(d) none of these

The algebraic sum of the ordinates of the feet of 3 normals drawn to the parabola y^(2)=4ax from a given point is 0.

The arithmetic mean of the ordinates of the feet of the normals from (2,6) to the parabola y^(2)=4x is

The locus of the Orthocentre of the triangle formed by three tangents of the parabola (4x-3)^(2)=-64(2y+1) is

The ordinates of the feet of three normals to the parabola y^(2)=4ax from the point (6a,0) are

The locus of centroid of triangle formed by a tangent to the parabola y^(2) = 36x with coordinate axes is

Length of the shortest normal chord of the parabola y^(2)=4ax is