Conic Sections Question 126

The maximum number of normals that can be drawn from a point to a parabola is

[MP PET 1990]

Options:

0

1

2

3

Show Answer

Answer:

Correct Answer: D

Solution:

equation of normal is given by $y=mx−2am−am^3$

where equation of parabola is $y^2=4ax$

clearly, it is a cubic equation in m and hence three values of possible m for normal; hence three normals can be drawn from any point (maximum)



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