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

If the lines $L_1 \equiv 2x + y + 3 = 0$,$L_2 \equiv kx + 2y - 3 = 0$,and $L_3 \equiv 3x - 2y + 1 = 0$ are concurrent,then the cosine of the acute angle between the lines $L_2 = 0$ and $2x - 5y + 7 = 0$ is

For what value of $a$ are the lines $x = 3$,$y = 4$,and $4x - 3y + a = 0$ concurrent?

If the points $(x + 1, 2)$,$(1, x + 2)$,and $\left( \frac{1}{x + 1}, \frac{2}{x + 1} \right)$ are collinear,then $x$ is

For the straight lines given by the equation $(2 + k)x + (1 + k)y = 5 + 7k$,for different values of $k$,which of the following statements is true?

The equation of the line passing through the point of intersection of lines $2x - y + 2 = 0$ and $x + y + 4 = 0$ and the point $(5, -2)$ is