Plot the points A(2, 4), B(–3, 5), C(–4, –5), D(4, –2) in the Cartesian plane  

Plot the following points (2, 0), (–5, 0), (3, 0), (–1, 0) in the Cartesian plane. Where do they lie?

Plot the points (–4, 3),(–3, 3),(–1, 3),(0, 3),(3, 3) in the Cartesian Plane. What can you say about the position of these points?

Plot the following points A(2, 2), B(–2, 2), C(–2, –1), D(2, –1) in the Cartesian plane. Discuss the type of the diagram by joining all the points taken in order

If the distance between the points (5,–2), (1, a), is 5 units, find the values of a.

Let A(2, 2), B(8, –4) be two given points in a plane. If a point P lies on the X- axis (in positive side), and divides AB in the ratio 1: 2, then find the coordinates of P.

Show that (4, 3) is the centre of the circle passing through the points (9, 3), (7, –1), (–1, 3). Find the radius.

Verify that the following points taken in order form the vertices of a rhombus.
A(3, –2), B (7, 6),C (–1, 2) and D (–5, –6)

Verify that the following points taken in order form the vertices of a rhombus.
A (1, 1), B(2, 1),C (2, 2) and D(1, 2)

(i) Where do the following points lie?
P (0, -4), Q(0, -1), R(0, 3), S(0, 6).
(ii) Find the distance between the following points using coordinates given in question
(a) P and R
(b) Q and S
(iii) Draw the line diagram for the given above points.