Find the value of $m$ if the points $(5, 1), (2, 3)$ and $(8, 2m )$ are collinear.

The area of the triangle whose co-ordinates are $(2012, 7), (2014, 7)$ and $(2014, a)$ is $1 \,sq$ unit. The sum of possible values of $a$ is

Let $A(h,k),B(1,1)$ and $C(2,1)$ be the vertices of a right- angled triangle with $AC$ as its hypotenuse.

If the area of the triangle is 1, then the set of values which $k$ can take is given by-

The area of the triangle formed by the lines $x=0;y=0$ and $x\sin { { 18 }^{ 0 } } +y\cos { { 36 }^{ 0 } } +1=0$ is-