Q1. How are the quadrants marked? Draw the two axes and mark the quadrants.
Q2. In which direction does the horizontal line go?
Q3. In a coordinate plane, what are the horizontal and vertical lines called?
Q4. What are the coordinates of a point called?
Q5. What is the special name for the coordinates (0, 0)?
Q6. What are the distances of a point from the Y-axis and X-axis called?
Q7. When we say that the coordinates of a point P in the plane are (a, b), what does it
mean?
Q8. Draw the two axes and plot the following points:
(i) M (5, 3)
(ii) B (- 3, 2)
(iii) R (-2, 3)
Q9. Write the x and y coordinates of the points shown in the graphs below:
(i)
.L
X’
Y’
(ii)
X’
.P
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Q10. Draw the X and Y axes and plot the following points
(i) S (– 7, - 3) (ii) R (10, - 8)
Q11. Match the following sign conventions with correct quadrant:
Quadrant
Sign of coordinates
(a)
I
(i)
(-, -)
(b)
III
(ii)
(+, +)
(c)
IV
(iii)
(-, +)
(iv)
(+, -)
(d)
II
Q12. In which quadrants do the given points lie?
(i) (– 6, 5) (ii) (- 6, -3) (iii) (3, -7)
Q13. On which axis do the following points lie?
(i) (0, - 3) (ii) (0, 0) (iii) (- 5, 0)
Q14. The point R (5, 4) is reflected over the Y- axis, what are the coordinates of the resulting
point R ? Draw a graph to illustrate your answer.
.
R
Q15. If the abscissa of a given point is zero and its ordinate is – 9, in which quadrant will the
point lie?
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Page 2 of 7
Q16. The point M (2, - 4) is reflected over the X- axis, what are the coordinates of the
resulting point M ? Draw a graph to illustrate your answer.
Q17. Plot the points L(3,3) and
P (-3,-4). In which quadrants do they lie? Do they lie on
a straight line? Justify your answer with the help of a graph.
Q18. In the given diagram, write down the coordinates of the points P and Q. Also specify the
quadrant in which they lie.
Y
.
P
4
M
.L
3
2
.K
1
X’
-4
-3
-2
-1
0
1
2
3
4
X
-1
.Q
-2
.
.S
-3
-4
Y’
Q19. Complete the following:
(i) If the abscissa and the ordinate of a point are negative then the point lies in the
……quadrant.
(ii) If the ordinates and abscissa of a point are both positive, then the point lies in the …..
quadrant.
(iii) A pair of numbers ‘a’ and ‘b’ listed in a specific order with ‘a’ at the first place and ‘b’
at the second place (a, b) is called an ……..
Q20. Explain the following terms:
(i) Coordinate axes. (ii) Origin
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(iii) Abscissa or x- coordinate.
Page 3 of 7
ANSWERS:
A1. The quadrants are marked by using Roman Numerals in the anti-clockwise direction.
Y
II
I
.4
.3
.2
.1
X’
. .
-4 -3
.
.
-2 -1
o
0
1.
2
.
3.
4.
X
. -1
. -2
. -3
III
.
. -4
IV
Y’
A2. The horizontal line goes across from left to right.
A3.The horizontal line is called the X-axis and the vertical line is called the Y-axis.
A4. The coordinates are called an ordered pair.
A5. The ordered pair (0, 0) is called the origin.
A6. Distance of the point from Y-axis is called the ‘Abscissa’ and the distance of the point
from X- axis is called the ‘Ordinate’.
A7. It means that the distance of the point P from the Y-axis = ‘a’ units, and ‘a’ is called the
x- coordinate or ‘Abscissa’ of P.
The distance of the point P from the X-axis = ‘b’ units, and ‘b’ is called the y- coordinate or
‘Ordinate of P
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Page 4 of 7
A8. The required points are as shown in the figure below:
Y
II
.5
I
.4
.3
.
(-3, 2) B
X’
.
-5
M
. (5, 3)
.2
.1
.
.
-4 -3
.
.
-2 -1
o
1.
0
. -1
. -2
. -3
III
. -4
.- 5
2
.
3.
4.
.
5
X
.
R
(3, - 2)
IV
.
X
Y’
A9. (i) L ( 5,4 )
(ii) P (3, - 6)
A10. The required points are as shown:
(i)
X’
.
S
Y’
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Page 5 of 7
(ii)
X’
.R
Y’
A11. (a) ↔ (ii)
(b) ↔ (i)
A12. (i) II Quadrant
(c) ↔ (iv)
(ii) III Quadrant
(d) ↔ (iii)
(iii) IV Quadrant
A13. (i) (0, - 3) lies on the Y-axis.
(ii) (0, 0) lies at the intersection of the X-axis and Y- axis. (Origin)
(iii) (- 5, 0) lies on the X – axis.
A14. The coordinates of point R are (- 5, 4) as shown in the figure below.
.R’
.
R
X’
Y’
A15. If the abscissa is zero, the point does not lie in any quadrant. It will lie on the Y-axis.
A16.The coordinates of M are (2, 4) as shown in the figure below.
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Page 6 of 7
Y
II
.5
I
.M’
.4
.3
.2
X’
.1
.
.
-4
-5
.
-3
.
-2
.
-1
o
1.
0
2
.
3.
4.
.
5
X
. -1
. -2
. -3
III
. -4
.- 5
.M
IV
.
X
Y’
A17. Point L (3, 3) lies in the first quadrant.
Point P (-3, - 4) lies in the third quadrant.
Yes they lie on a straight line.
The figure is as shown below:
II
I
.L
X’
.
P
III
IV
Y’
A18. Point P (- 3, 4): second quadrant. Point Q (-3, -2): Third quadrant
A19. (i) Third quadrant. (ii) First quadrant
(iii) Ordered pair.
A20. (i) The position of a point in a plane is determined with reference to two fixed
mutually perpendicular lines, called the coordinate axes.
(ii) The point of intersection of the coordinate axes is called the origin, represented by the
ordered pair (0,0).
(iii) The distance of a point from the Y-axis is called the abscissa or the x- coordinate.
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