Conic Sections Question 495

Question: A parabola passing through the point $ (-4,\ -2) $ has its vertex at the origin and y-axis as its axis. The latus rectum of the parabola is

Options:

A) 6

B) 8

C) 10

D) 12

Show Answer

Answer:

Correct Answer: B

Solution:

Let the equation of parabola is $ x^{2}=4ay $ , but $ a=\frac{4}{-2} $ = $ -2 $ . Then equation is $ x^{2}=-8y $ and latus rectum $ =4a=8 $ .



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