[" The normal chord of "y^(2)=4ax],[" at a point where abscissa is "],[" equal to ordinate subtends "],[" at the focus an angle "theta=]

The normal meet the parabola y^(2)=4ax at that point where the abscissa of the point is equal to the ordinate of the point is

Prove that the normal chord at the point on y^(2) = 4ax , other than origin whose ordinate is equal to its abscissa subtends a right angle at the focus.

Number chords of y^(2)=4ax Whose Mid Point is the focus is

The point on y^(2)=4ax nearest to the focus has to abscissa equal to

The point on y^(2)=4ax nearest to the focus has to abscissa equal to

Normal at point to the parabola y^(2)=8x where abscissa is equal to ordinate,will meet the parabola again at a point

If "P" is a point on the parabola " y^(2)=4ax " in which the abscissa is equal to ordinate then the equation of the normal at "P" is

Prove that the normal chord to a parabola at the point whose ordinate is equal to the abscissa subtends a right angle at the focus.