A tangent is drawn to the parabola y2=6x which is perpendicular to the line 2x+y=1. Which of the following points does NOT lie on it

The equation of the given parabola is y2=6xdifferentiate both sides 2ydydx=6⇒dydx=3ythe slope of the line 2x+y=1 is -2, since the above  line is perpendicular to the required tangent  3y-2=-1 y=6when y=6, then x=6The equation of tangent is y-6=12x-6 2y-12=x-6 x-2y+6=0verify the options