question_answer

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]        

A)            \[9x+20y+96=0\]                 

B)            \[20x+9y+96=0\]

C)            \[9x-20y+96=0\]                   

D)            None of these

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                    \[\frac{x}{-(32/3)}+\frac{y}{(24/5)}=1\]\[\Rightarrow 9x-20y+96=0\].