+90 N is the point ( 4t, 2t2) on the parabola 𝑥2 = 8𝑦 whose focus is D. Find the equation of the normal at N.
(i) If this normal meets the axis of the parabola at B, find the locus of E, the midpoint of NB.
(ii) The perpendicular from D to the normal meets it at H. Find the equation of DH and hence find the coordinates of H.
(iii) What relation exists between the locus of E and the locus of H?
Thank you :)
+12530 N is the point ( 4t, 2t2) on the parabola 𝑥2 = 8𝑦 whose focus is D. Find the equation of the normal at N.
(i) If this normal meets the axis of the parabola at B, find the locus of E, the midpoint of NB.
(ii) The perpendicular from D to the normal meets it at H. Find the equation of DH and hence find the coordinates of H.
(iii) What relation exists between the locus of E and the locus of H?
