IPMAT Indore (SA) PYQs

The maximum distance between the point $(-5, 0)$ and a point on the circle $x^2 + y^2 = 4$ is

The value of $k$ for which the following lines are concurrent is

$x-y-1=0 \newline 2x+3y-12=0 \newline 2x-3y+k=0$

Let $A(1,3)$ and $B(5,1)$ be two points. If a line with slope $m$ intersects $AB$ at an angle of $45°$, then the possible values of $m$ are