JEE Advance - Mathematics (2006 - No. 24)
The equations of the common tangents to the parabola $$y = {x^2}$$ and $$y = - {\left( {x - 2} \right)^2}$$ is/are
$$y = 4\left( {x - 1} \right)$$
$$y=0$$
$$y = - 4\left( {x - 1} \right)$$
$$y = - 30x - 50$$