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.

Prove that the normal chord at the point other than origin whose ordinate is equal to its abscissa subtends a right angle at the focus.

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.

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

If the normal chord drawn at the point P(t) to the parabola y^(2) = 4ax subtends a right angle at the focus, then show that , = pm2

Find the equation of the normal to the parabola y^2 = 4ax such that the chord intercepted upon it by the curve subtends a right angle at the verted.

If the normal chord drawn at the point t to the parabola y^(2) = 4ax subtends a right angle at the focus, then show that ,t = pmsqrt2

Obtain the equations of the tangent and normal of the parabola y^2=4ax at a point where the ordinate is equal to three times the abscissa.