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Published on: 29/10/2025
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1.
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.
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)?
3.
How will you describe the position of a table lamp on your study table another person?
4.
Plot the following points:
| Points | P | Q | R | S | T | U |
|---|---|---|---|---|---|---|
| Coordinates | ||||||
| x | -1 | 0 | 6 | 3 | -3 | 6 |
| y | 3 | 3 | 3 | 0 | -2 | -3 |
What is the difference between the ordinates of points P and Q?
5.
From the given figure, write the points whose
(a) ordinate = 0
(b) abscissa = 0
(c) abscissa = -3
(d) ordinate = 4

6.
Plot the points A(2,3), B(2,1), C(0,1) and D(0,3).Join the points and identify the figure obtained.Find its area and perimeter.
7.
Plot the points (-2,0) and (3,-4) in the coordinate plane.
8.
From given figure write the following:
(a) The coordinates of P
(b) The abscissa of the point Q
(c ) The ordinate of the point R
(d) The points whose abscissa is 0.

9.
Write the coordinates of A, B, C and D from the figure given below:

10.
In which quadrant do the given point lie? (-4,-5)
11.
In which quadrant does the point (-1,-1) lie?
I
II
III
IV
12.
In which quadrant does the point (-1,2) lie?
I
II
III
IV
13.
In which quadrant does the point (2,3) lie?
I
II
III
IV
14.
Abscissa of a point is positive in:
I and II quadrants
I and IV quadrants
I quadrant only
IV quadrant only
15.
The points (-5,2) and (2,-5) lie in the:
Same quadrant
II and III quadrants respectively
II and IV quadrants respectively
IV and III quadrants respectively
16.
If x is negative and y is negative, then the point (x,y) lies in
I quadrant
II quadrant
III quadrant
IV quadrant
17.
If x is negative and y is positive, then the point (x,y) lies in
II quadrant
III quadrant
IV quadrant
I quadrant
18.
If x is positive and y is negative, then the point (x,y) lies in
III quadrant
IV quadrant
II quadrant
I quadrant
19.
The famous mathematician associated with the problem of describing the position of a point in a plane was
Pythagoras
Newton
Euclid
Rene Descartes
20.
Rene Descartes belonged to
15th Century
16th Century
17th Century
18th Century
1.
\(C\rightarrow \left( -2,-4 \right) \)

2.
Both the cross-streets are marked in the figure given.They are uniquely found because of the two reference lines we have used for locating them.
3.
Consider the lamp as a point and table as a plane.Choose any two perpendicular edges of the table.Measure the distance of the lamp from the longer edge, suppose it is 25 cm. Again, measure the distance of the lamp from the shorter edge, and suppose it is 30 cm.You can write the position of the lamp as (30,25) or (25, 30), depending on the order you fix.

4.

Ordinate of point P = 3
Ordinate of point Q = 3
Difference between the ordinates of points P and Q = 3 - 3 = 0
5.
(a) The points whose ordinates are O and Q and N.
(b) The points whose abscissae are 0 are T and P.
(c) The points whose abscissae are -3 are Q and R.
(d) The points whose ordinates are 4 are S and L.
6.

Square; 4 Square units; 8 units
7.

8.
(a) (-3,-2)
(b) 0
(c) 0
(d) R, Q, S, T, O
9.
\(A\rightarrow \left( 5,0 \right)\)
\(\\ B\rightarrow \left( 0,3 \right) \)
\(\\ C\rightarrow \left( -5,0 \right)\)
\(\\ D\rightarrow \left( 0,-2 \right)\)
10.
III
11.
(c)
III
12.
(b)
II
13.
(a)
I
14.
(b)
I and IV quadrants
15.
(c)
II and IV quadrants respectively
16.
(c)
III quadrant
17.
(a)
II quadrant
18.
(b)
IV quadrant
19.
(d)
Rene Descartes
20.
(c)
17th Century
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