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:

The points $\left( 0, \frac{8}{3} \right)$,$(1, 3)$,and $(82, 30)$

If the lines $x+y-1=0$,$kx+2y+1=0$,and $4x+2ky+7=0$ are concurrent,then $k=$

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

The equation of a line passing through the point of intersection of the lines $x - y + 1 = 0$ and $2x + 3y - 8 = 0$ and having an $x$-intercept of $3$ is:

If the given lines $y = m_1x + c_1$,$y = m_2x + c_2$,and $y = m_3x + c_3$ are concurrent,then: