Straight Line Question 368

Question: The ends of the base of an isosceles triangle are at $ (2a,\ 0) $ and $ (0,\ a). $ The equation of one side is $ (lx+my)(a+b)=(l+m)\ ab $ The equation of the other side is

Options:

A) $ x+2y-a=0 $

B) $ x+2y=2a $

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

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

Show Answer

Answer:

Correct Answer: D

Solution:

  • Obviously, other line AB will pass through (0, a) and $ (2a,k) $ . But as we are given $ AB=BC $

$ \Rightarrow k=\sqrt{4a^{2}+(k-a)^{2}} $ Þ $ k=\frac{5a}{2} $ Hence the required equation is $ 3x-4y+4a=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