If the normals drawn from a point to the parabola cuts the line in points whose abscissa are in A.P., then the slopes of the tangents at the three conormal points are in
A.P.
G.P.
H.P.
none of these
Any point on is
Normal at this point is
Or
It is drawn from The condition is
Or
Let its roots be
The intersection of (1) with is given by
The abscissa of three points of intersection are
They are in A.P.
Or
As
Or
From (3) and (4)
Or
Or
But are slopes of tangents at three conormal points.
Therefore, they are in G.P.
The answer is (b)
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