Tamil Nadu Board Solutions for Chapter: Coordinate Geometry, Exercise 3: Exercise

Find the distance (in $\mathrm{units}$) between the pair of points.

$\left(1,2\right)$ and $\left(4,3\right)$

Find the distance (in $\mathrm{units}$) between the pair of points.

$\left(3,4\right)$ and $\left(-7,2\right)$

Find the distance (in $\mathrm{units}$) between the pair of points.

$\left(\mathrm{a},\mathrm{b}\right)$ and $\left(\mathrm{c},\mathrm{b}\right)$

Find the distance (in $\mathrm{units}$) between the pair of points.

$\left(3,-9\right)$ and $\left(-2,3\right)$

Let $A(2,3)$ and $B(2,-4)$ be two points. If $P$ lies on the $x$-axis, such that $AP=\frac{3}{7}AB$. Find the coordinates of $P$.

The radius of a circle with centre at origin is $30$ units. Write the coordinates of the points where the circle intersects the axes. Find the distance between any two such points.

Plot the points $A\left(2, 4\right), B\left(-3, 5\right), C\left(-4, -5\right), D\left(4, -2\right)$ in the Cartesian plane.

Find the centroid of the triangle whose veritices are $A\left(6, -1\right), B\left(8, 3\right)$ and $C\left(10, -5\right)$.