Three lines $3x - y = 2$,$5x + ay = 3$,and $2x + y = 3$ are concurrent. Find the value of $a$.

If the three distinct lines $x + 2ay + a = 0$,$x + 3by + b = 0$,and $x + 4ay + a = 0$ are concurrent,then the point $(a, b)$ lies on a

If the lines $ax + y + 1 = 0, x + by + 1 = 0$ and $x + y + c = 0$ ($a, b, c$ being distinct and different from $1$) are concurrent,then $\frac{1}{1 - a} + \frac{1}{1 - b} + \frac{1}{1 - c} = $

If the points $(k, 2 - 2k)$,$(1 - k, 2k)$ and $(-k - 4, 6 - 2k)$ are collinear,then the possible values of $k$ are

If $a + b + c = 0$ and $p \neq 0$,the lines $ax + (b + c)y = p$,$bx + (c + a)y = p$ and $cx + (a + b)y = p$ are:

The equation of the straight line passing through the point of intersection of the straight lines $3x - y + 2 = 0$ and $5x - 2y + 7 = 0$ and having an infinite slope is: