Find the distance between the points (–4, 3), (2, –3).

Calculate the distance between the points A (7, 3) and B which lies on the x-axis whose abscissa is 11.

The point (x, y) is equidistant from the points (3, 4) and (–5, 6). Find a relation between x and y.

Show that the point (11, 2) is the centre of the circle passing through the points (1, 2), (3, –4) and (5, -6)

Determine whether the given set of points in each case are collinear or not (a, –2), (a, 3), (a, 0)

Show that the following points taken in order form an equilateral triangle in each case
\(A\left( \sqrt { 3 } ,2 \right) ,B\left( 0,1 \right) ,C\left( 0,3 \right) \)

Plot the following points on a graph sheet by taking the scale as 1cm = 1 unit.
Find how far the points are from each other?
A (1,0) and D (4, 0). Find AD and also DA.
Is AD = DA?
You plot another set of points and verify your Result.

(i) Where do the following points lie?
P (-2, 0), Q (2, 0), and R(3, 0)
(ii) Find the distance between the following points using coordinates given in question
(a) P and R (b) Q and R.

Find the points which divide the line segment joining A(−11, 4) and B(9, 8) into four equal parts.

Find the centroid of the triangle whose veritices are A(6, −1), B(8, 3) and C(10, −5).