Telangana Board Solutions for Chapter: Coordinate Geometry, Exercise 10: Exercise

Find the coordinates of the point which divides the line segment joining the points $(-1, 7)$ and $(4, -3)$ in the ratio $2:3$.

Find the ratio in which the line segment joining the points$(-3,10)$ and $(6,-8)$ is divided by $(-1,6)$.

Find the coordinates of point $\mathrm{A}$, where$\mathrm{AB}$ is the diameter of a circle whose centre is$(2,-3)$and $\mathrm{B}$ is $(1,4)$ .

If $\mathrm{A}$ and $\mathrm{B}$ are$(-2,-2)$ and $(2,-4)$ respectively, find the coordinates of $\mathrm{P}$ on $\mathrm{AB}$ such that $\mathrm{AP}=\frac{3}{7}\mathrm{AB}$.

Find the coordinates of the point which divides the line segment joining the points $(a+b,a-b)$ and $(a-b,a+b)$ in the ratio$3: 2$internally.

Find the coordinates of centroid of the triangle with vertices following:

$(-1,3), (6,-3)$ and $(-3,6)$

Find the coordinates of centroid of the triangle with vertices following:
$(6,2), (0,0)$and $(4,-7)$

Find the coordinates of centroid of the triangle with vertices following:

$(1,-1), (0,6)$ and $(-3,0)$