Question:
Consider the set of all lines $p x+q y+r=0$ such that $3 p+2 q+4 r=0$. Which one of the following statements is true ?
Correct Option: , 4
Solution:
Given set of lines $p x+q y+r=0$
given condition $3 p+2 q+4 r=0$
$\Rightarrow \frac{3}{4} p+\frac{1}{2} q+r=0$
$\Rightarrow$ All lines pass through a fixed point $\left(\frac{3}{4}, \frac{1}{2}\right)$.