Circle And System Of Circles Question 14

Question: The equation of the tangent to the circle $ x^{2}+y^{2}-2x-4y-4=0 $ which is perpendicular to $ 3x-4y-1=0 $ , is

Options:

A) $ 4x+3y-5=0 $

B) $ 4x+3y+25=0 $

C) $ 4x-3y+5=0 $

D) $ 4x+3y-25=0 $

Show Answer

Answer:

Correct Answer: D

Solution:

Tangent is of form $ 4x+3y+c=0 $ . From condition of tangency to the circle, we get $ c=-25 $ .

Hence equation is $ 4x+3y-25=0 $ .



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