The points $A(1, 1)$,$B(-2, 7)$,and $C(3, -3)$ are . . . . . . .

If the point $M(x, y)$ divides the line segment joining $A(b \cos \alpha, b \sin \alpha)$ and $B(a \cos \beta, a \sin \beta)$ in the ratio $b:a$,then $x \cos \frac{\alpha + \beta}{2} + y \sin \frac{\alpha + \beta}{2} = $

The polar coordinates of the point whose Cartesian coordinates are $(-2, -2)$ are given by

If the distance between the points $(a \cos \theta, a \sin \theta)$ and $(a \cos \phi, a \sin \phi)$ is $2a$,then $\theta$ is equal to

If the midpoint of the line segment joining the points $(5, a)$ and $(b, 7)$ is $(3, 5)$,then $(a, b) =$

Three vertices of a parallelogram taken in order are $(-1, -6)$,$(2, -5)$ and $(7, 2)$. The fourth vertex is