Question

length of the latus ractum of the parabola ysquare 16x is​

Answer 1

Answer:

Let M(x1, y1) be the midpoint of a chord of y2 = 16x. Hence, the equation of the chord is yy1 - 8(x + x1) = y12 - 16x1 This chord passes through the vertex (0, 0). This implies - 8x1 = y12 - 16x1 = y12 - 8x1 Therefore, the locus of M(x1, y1) is the parabola y2 = 8x. Hence, the length of latus rectum is 8.Read more on Sarthaks.com - https://www.sarthaks.com/521740/midpoints-chords-parabola-which-passes-through-vertex-parabola-whose-length-latus-rectum