From a point `(sintheta,costheta)`, if three normals can be drawn to the parabola `y^(2)=4ax` then the value of a is

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

The number of normals drawn to the parabola y^(2)=4x from the point (1,0) is

From a point (h,k) three normals are drawn to the parabola y^2=4ax . Tangents are drawn to the parabola at the of the normals to form a triangle. The centroid G of triangle is

Three normals are drawn to the parabola y^(2) = 4x from the point (c,0). These normals are real and distinct when

Three normals drawn to the parabola y^(2) = 4x from the point (c, 0) are real and diferent if

If three distinct normals can be drawn to the parabola y^(2)-2y=4x-9 from the point (2a, 0) then range of values of a is