Tamil Nadu Board Solutions for Chapter: Coordinate Geometry, Exercise 11: Exercise

Find the coordinates of the point which divides the line segment joining the points $A(4,-3) \mathrm{and} B(9,7)$ in the ratio $3:2$.

In what ratio does the point $P(2,-5)$ divide the line segment joining $A(-3,5)$ and $B(4,-9)$?
 

Find the coordinates of point $P$ on the line segment joining $A(1,2)$ and $B(6,7)$ in such a way that $AP=\frac{2}{5}AB$.

Find the coordinates of the points of trisection of the line segment joining the points $A(-5,6)$ and $B(4,-3)$.

The line segment joining $A(6,3)$ and $B(-1,-4)$ is doubled in length by adding half of $AB$ to each end. Find the coordinates of the new end points.

Using section formula, show that the points $A(7,-5), B(9,-3)$ and $C(13,1)$ are collinear.

A line segment $AB$ is increased along its length by $25\%$ by producing it to $C$ on the side of $B$. If $A$ and $B$ have the coordinates $(-2,-3)$ and $(2,1)$ respectively, then find the coordinates of $C$.

Find the distance between the points $\left(-4, 3\right), \left(2, -3\right)$.