Mathematics - Straight Lines Question with Solution | TestHub

Given condition is$3p+2q+4r=0$

$\Rightarrow \frac{3}{4}p+\frac{1}{2}q+r=0 .......\left(1\right)$

And given family of line is$px+qy+r=0...\left(ii\right)$

From$\left(i\right)$we can say that equation$\left(ii\right)$always passes through$\left(\frac{3}{4},\frac{1}{2}\right)$.

Hence all lines are concurrent at$\left(\frac{3}{4},\frac{1}{2}\right)$.