JEE Main & Advanced
Mathematics
Straight Line
Question Bank
Slope of line, Equation of line in different forms
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 \[\frac{x}{-(32/3)}+\frac{y}{(24/5)}=1\]\[\Rightarrow 9x-20y+96=0\].