Parametric Question x1
1. From a point P on the parabola x2 = 2ay, a
tangent is drawn. From the focus S a perpendicular is drawn to meet the tangent at R.
(a) Find the equation of SR.
(b) Find the locus of R.
[ACTUALLY, I JUST FIGURED THIS OUT]2. Show that the locus of the middle points of chords in the parabola x2 = 4ay, and which pass through the vertex, is another parabola,
x2 = 2ay.
Can anyone please help? My brain is exploding....
Thanks in advance!
1. From a point P on the parabola x2 = 2ay, a
tangent is drawn. From the focus S a perpendicular is drawn to meet the tangent at R.
(a) Find the equation of SR.
(b) Find the locus of R.
[ACTUALLY, I JUST FIGURED THIS OUT]2. Show that the locus of the middle points of chords in the parabola x2 = 4ay, and which pass through the vertex, is another parabola,
x2 = 2ay.
Can anyone please help? My brain is exploding....
Thanks in advance!
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