Subject Experts Solutions for Chapter: Coordinate Geometry, Exercise 1: Target Exercise

What is the area of the triangle formed by joining the points $\left(0,0\right), \left(2,4\right)$ and $\left(2,0\right)$?

Which of the following is the distance between point $\left(x,y\right)$ and the origin?

The coordinate of the centroid of a $△ABC$ formed by points $A\left(x_1,y_1\right), B\left(x_2,y_2\right)$ and $C\left(x_3,y_3\right)$ is

If the circle having end points of the diameter as $\left(3,-4\right)$ and $\left(a,b\right)$ has its centre at $\left(5,-1\right)$, the value of $\left(a,b\right)$ is

The point nearest to the origin among the points given, is

$AOBC$ is a rectangle whose three vertices are $A\left(0,3\right), O\left(0,0\right), B\left(5,0\right)$. The length of its diagonal is

The distance between the points $A\left(0,6\right)$ and $B\left(0,-2\right)$ is

The distance of the point $P\left(-6,8\right)$ from the origin is