Conic Sections Question 160

Question: The normal at the point $ (bt_1^{2},\ 2bt_1) $ on a parabola meets the parabola again in the point $ (bt_2^{2},\ 2bt_2) $ , then

[MNR 1986; RPET 2003; AIEEE 2003]

Options:

A) $ t_2=-t_1-\frac{2}{t_1} $

B) $ t_2=-t_1+\frac{2}{t_1} $

C) $ t_2=t_1-\frac{2}{t_1} $

D) $ t_2=t_1+\frac{2}{t_1} $

Show Answer

Answer:

Correct Answer: A

Solution:

It is a fundamental theorem.