Straight Line Question 332

Question: Equation of the line which passes through the point $ (-4,\ 3) $ and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point, is[AMU 1973; Dhanbad Engg. 1971]

Options:

A) $ 9x+20y+96=0 $

B) $ 20x+9y+96=0 $

C) $ 9x-20y+96=0 $

D)None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • By the section formula, we get $ a=-\frac{32}{3} $ and $ b=\frac{24}{5} $ . Hence the required equation is given by $ \frac{x}{-(32/3)}+\frac{y}{(24/5)}=1 $

$ \Rightarrow 9x-20y+96=0 $ .