1.Show that the equation of the chord of the parabola y2 =4ax through the points (x1,y1) and (x2,y2)
on it is (y-y1)(y-y2)=y2 - 4ax
2.show that the circle described on a focal chord of a parabola as diameter touches its directrix ,
3.prove that the sum of the reciprocals of the segments of any focal chord of a parabola is constant
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3) Let the equation of the conic be l/r = 1+ecos
and let PSP' be any chord of it.
Let the vectorial angle of the point P be α, therefore,the vectorial angle of P'(
)
P and P' both lie on the given conic.
therefore,
