### Straight Lines and Pair of Straight Lines

goals
The set of lines $ax+by+c=0$ where $3a+2b+4c=0$ is concurrent at the point .....
Let $P=(-1,0),Q=(0,0)$ and $R=(3,3\sqrt { 3 } )$ be three points. Then the equation of bisector of the angle $PQR$ is
If the point $(a,2)$ lies between the lines $x - y -1 = 0$ and $2(x-y)-5 = 0$, then the set of values of a is
If the line $3x+2y=6$ passes through a point $(4,y)$, find $y$ and also find two more equations of the lines passing through this point
Coordinates of the image of the point $\left(\dfrac {5}{2},0\right)$ with respect to the origin is