Question

If the distance between a tangent to the parabola y2=4x and a parallel normal to the same parabola is 22​, then possible values of gradient of either of them are:

​

Answer 1

Parametrically let us consider that

represents the coordinates of any point

P

on the given parabola,

Differentiating the equation of the parabola

So slope of the tangent at

P

and also that of a normal at

Q

parallel to this tangent will be given