Prove that the algebraic sum of the ordinates of intersection of a circle and a parabola is 0 I consider two curves $x^2=4ay$ and $x^2+y^2=\lambda^2$
So
$$y^2+4ay-\lambda^2=0$$
And $$y_1+y_2\not =0$$
I just want to whether the question itself is right or not

For $x^2=4ay$, sum of abscissae will be zero due to symmetry about y-axis.
For $y^2=4ax$, sum of ordinates will be zero due to symmetry about x-axis.
(Perhaps the question has been mixed up? Or was it originally a true/false question?)
