Section A: Board level Questions
- Find the coordinates of the point which divides the line segment joining the points $(4, -3)$ and $(8, 5)$ in the ratio $3:1$ internally.
- Find a relation between $x$ and $y$ such that the point $(x, y)$ is equidistant from the points $(7, 1)$ and $(3, 5)$.
- Find the area of the triangle formed by joining the points $A(2, 3)$, $B(-1, 0), and $C(2, -4)$.
- If the points $A(6, 1)$, $B(8, 2)$, $C(9, 4)$ and $D(p, 3)$ are the vertices of a parallelogram, taken in order, find the value of $p$.
- Find the coordinates of the points of trisection of the line segment joining $(4, -1)$ and $(-2, -3)$.
