Circle And System Of Circles Question 325

Question: The straight line $ x-y-3=0 $ touches the circle $ x^{2}+y^{2}-4x+6y+11=0 $ at the point whose co-ordinates are

[MP PET 1993]

Options:

A) $ (1,-2) $

B) $ (1,,2) $

C) $ (-1,,2) $

D) $ (-1,-2) $

Show Answer

Answer:

Correct Answer: A

Solution:

Trick: The point must satisfy the line and the circle simultaneously. Obviously the point of contact is $ (1,\ -2) $ .



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