Maharashtra Board Solutions for Chapter: Co-Ordinate Geometry, Exercise 2: Practice set 5.2

Find the ratio in which point $\mathrm{T}(-1,6)$divides the line segment joining the points $\mathrm{P}(-3,10)$ and $\mathrm{Q}(6,-8)$.

Find the centroids of the triangles whose vertices are given below.

$(3,-5), (4,3), (11,-4)$

Find the centroids of the triangles whose vertices are given below.

$(4,7), (8,4), (7,11)$

In $\mathrm{\Delta ABC}, \mathrm{G}(-4,-7)$ is the centroid. If $\mathrm{A}(-14,-19)$ and $\mathrm{B}(3,5)$ then find the co-ordinates of $\mathrm{C}$.

$\mathrm{A}(\mathrm{h},-6), \mathrm{B}(2,3)$ and $\mathrm{C}(-6,\mathrm{k})$ are the co-ordinates of vertices of a triangle whose centroid is $\mathrm{G}(1,5)$. Find $\mathrm{h}$ and $\mathrm{k}$.

Find the co-ordinates of the points of trisection of the line segment $\mathrm{AB}$ with $\mathrm{A}(2,7)$ and $\mathrm{B}(-4,-8)$.

If $\mathrm{A}(-14,-10), \mathrm{B}(6,-2)$ is given, find the coordinates of the points which divide segment $\mathrm{AB}$ into four equal parts.

If $\mathrm{A}(20,10), \mathrm{B}(0,20)$ are given, find the coordinates of the points which divide segment $\mathrm{AB}$ into five congruent parts.