Points A(5,3), B(-2,3) and D(5,-4) are three vertices of a square ABCD.Plot these points on a graph paper and hence find the coordinates of vertex C.

(i) Plot the points M(5,-3) and N(-3,-3).
(ii) What is the length of MN?
(iii) Find the coordinates of points A, B and C lying on Mn such that MA=AB=BC=CN

Plot the points A(0,3), B(5,3), C(4,0) and D(-1,0) on the graph paper.Identify the figure ABCD and find whether the point (2,2) lies inside the figure or not?

Draw a quadrilateral ABCD, whose vertices are  A(3,2), B(2,3), C(-4,5), and D(5,-3)

Plot the points P(-1,-1), Q(2,3) and R(8,11).Show that they are collinear.

Find the coordinates of the vertices of a rectangle placed in III quadrant, in the Cartesian plane with length 'p' units on x-axis and breadth 'q' units on y-axis.

Locate and write the coordinates of a point:
(a) above x-axis lying on y-axis at a distance of 5 units from origin.
(b) below x-axis lying on y-axis at a distance of 3 units from origin.
(e) lying on x-axis to the right of origin at a distance of 5 units.
(d) lying on x-axis to the left of origin at a distance of 2 units.

The perpendicular distance of a point from the x-axis is 4 units and the perpendicular distance from the y-axis is 5 units.Write the coordinates of such a point if it lies in the
(a) I quadrant (b) II quadrant (c) III quadrant (d) IV quadrant

In which quadrant do the given points lie?(9,6)

In which quadrant do the given points lie?(3,-2)

In which quadrant do the given points lie?(-5,-4)

In which quadrant do the given points lie?(-6,2)

(Street Plan):A city has two main roads cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.All the other streets of the city run parallel to these roads and are 200 m apart.There are 5 streets in each direction.Using 1 cm = 200 m, draw a model of the city on your notebook.Represent the roads/streets by single line.

There are many cross-streets in your model.A particular cross-street is made by two streets, one running in the North-South direction and another in the East- West direction.Each cross-street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5).Using this convention, find:
(i) how many cross-streets can be referred to as (4,3)?
(ii) how many cross-streets can be referred to as (3,4)?

How will you describe the position of a table lamp on your study table another person?

Write the answer of each of the following questions:
(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of the point where these two lines interesect