Question

Show that the chord of curvature through the focus of a parabola is four times the total distance of the point and the chord of curvature parallel to the axes has the same length

Answer 1

Answer:

Let the equation of the parabola be 2a/r = (1 + cos θ) …(1) First, we wish to find the pedal equation of the parabola with the pole as the focus and initial line as the X-axis So, take logs on both sides, log 2a – log r = log(1 + cosθ)Read more on Sarthaks.com - https://www.sarthaks.com/495545/show-that-the-chord-curvature-through-focus-parabola-times-focal-distance-point-further