Embibe Experts Solutions for Chapter: Coordinate Geometry, Exercise 1: Jharkhand Board-2020

Find the co-ordinate of the points which divides the line segment joining the point $\left(4,-3\right)$ and $\left(8,5\right)$ in the ratio $3:1$ internally.

Find the area of triangle whose vertices are $\left(2,3\right),\left(-1,0\right)$ and $\left(2,-4\right)$.

Find the distance between two points $\left(-5,7\right)$ and $\left(-1,3\right)$

Find the co-ordinate of the points which divides the line segment joining the point $\left(4,-3\right)$ and $\left(8,5\right)$ in the ratio $3:1$ internally.

Find the value of $k$ for which the following points are collinear
$\left(8,1\right),\left(k,-4\right),\left(2,-5\right)$

If $Q\left(0,1\right)$ is equidistant from the points $P\left(5,-3\right)$ and $R\left(x,6\right)$, find the value of $x$.

Find the area of a rhombus if its vertices are $\left(3,0\right), \left(4,-5\right), \left(-1,4\right)$ and $\left(-2,-1\right)$ taken in order.

Find the area of the triangle, the co-ordinates of whose vertices are $\left(-5,-1\right), \left(3,-5\right)$ and $\left(5,2\right)$.