Conic Sections Question 136

Question: If a normal drawn to the parabola $ y^{2}=4ax $ at the point $ (a,\ 2a) $ meets parabola again on $ (at^{2},\ 2at) $ , then the value of t will be

[RPET 1990]

Options:

1

3

-1

-3

Show Answer

Answer:

Correct Answer: D

Solution:

We know that $ t_2=-t_1-\frac{2}{t_1} $

Put $ t_1=1 $ and $ t_2=t $ .

Hence $ t=-3 $ .



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें