﻿ Show that the normal at a point (at2, 2at) on the parabola y2 = 2ax cuts the curve again at the point whose parameter . : Kaysons Education

# Show That The Normal At A Point (at2, 2at) On The Parabola y2 = 2ax cuts The Curve Again At The Point Whose Parameter .

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## Question

### Solution

Correct option is

The equation of the normal at the point (at2, 2at) is

y – 2at1 = –t1(x – t12)                              … (1)

It this normal meets the parabola again the point (at2, 2at), then

2at2 – 2at1 = 1 – t1(at22 – at12)

or         1(2 + 1) = –2

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