If the points $(-5, 1), (p, 5)$ and $(10, 7)$ are collinear,then the value of $p$ will be

The equations $y = \pm \sqrt{3}x$ and $y = 1$ represent the sides of which triangle?

The centroid of the triangle formed by the lines $x+y-1=0$,$x-y-1=0$,and $x-3y+3=0$ is

If the vertices of a quadrilateral are $(0, -1), (2, 1), (0, 3),$ and $(-2, 1)$,then it is a

If the line $3x + 4y - 24 = 0$ intersects $X$ and $Y$ axes at points $A$ and $B$ respectively,then the incenter of the triangle $OAB$,where $O$ is the origin,is:

Consider a $\triangle ABC$ in the $XY$-plane with vertices $A=(0,0)$,$B=(1,1)$,and $C=(9,1)$. If the line $x=a$ divides the triangle into two parts of equal area,then $a$ equals